He would likely do this by buying a bond. It would be substantial though, and even if he won the appeal the bond would like cost like $35 million or something he would never get back, and he needs to pay that before the appeal. It's all money being sapped away from the republican party at least.
In the $5 million E. Jean Carroll case, Trump paid the $5 million in cash on appeal. He claimed it was to avoid the fees of buying a bond but some have argued that no bond lenders would agree to lend to Trump due to the risk of not being paid back. If that's the case, Trump is going to be fronting a lot of cash in a short amount of time. Even a billionaire doesn't want $400 million tied up in escrow accounts.
He's barred from using any banks or other financial institutions registered in New York to do it, which includes pretty much all banks operating in USA which may have enough funds available to issue it. So if he doesn't have the cash on hand then he absolutely need to start begging private financiers to help him
A while, I'm sure. The thing is, to appeal a ruling you have to be able to show that some part of the process wasn't within the letter of the law. Trying to appeal will certainly buy some time, but not much if the attempt is unsuccessful. Given the wealth of evidence against the organization, I wouldn't think the appeal will be successful.
This will ultimately be what does him in. He can play legal games for years with ease, but the moment he's forced to pony up actual hard cash his house of cards will collapse. Best case scenario for him right now is that he can dip into the GOP's finances to pay this fine, although if he does so that's opening up yet another can of worms that's likely to come back and bite him. No bank is going to loan him money, and his supporters collectively don't have enough cash to cover that fee even if he could convince them to send him even more money.
Any more judgements like this one and he's going to have to start seriously liquidating assets and with how leveraged most of them probably are even that's going to net him a lot less actual cash than it might seem like. There's a reason he grifts so hard and it's not because he's so amazingly successful.
Every dollar the GOP spends on Trump's legal issues (which in fairness they kinda have to do since they've now molded the entire party around that one person) is a dollar that they're not spending on his campaign, not spending on polling and research, not spending on skilled campaign managers and advisors, and especially not spending on downticket races.
We're still far enough out from November that I haven't bothered to read up on contested house and senate seats, or state government races that are predicted to possibly flip one way or the other, but a cash strapped Republican party will have less money to pump into those races as well.
I think he probably has more cash than you think. Selling one or more of his properties to flip the bill will be embarrassing, but there is no doubt he has the financial means to weather this storm.
I think he can cover all the judgements to date, but I don't think he'll be able to do so without selling multiple properties unless he can steal the money from the GOP. But selling any of his properties is going to hurt him badly. He's relying on the revenue from those properties to cover his expenses and the more of them he's forced to liquidate the more precarious his finances will be. A few more judgements against him in the hundreds of millions range like this one and even selling every last property he owns might not be enough.
You can't embarrass or shame Trump, he doesn't care, but if you force him to actually pay his bills? Now that, that will hurt him badly.
He can technically appeal anyway, but he has very limited options.
If he pays in 30 days and appeals AND if the appeals court hears the case, then the money will be held by the court and then he can request that they stay the judgment, AND if they agree money is returned (but he can still lose and have to pay again).
If it goes to appeals and they don't stay judgement then if he wins it also gets paid back. Or if he loses then the government claims it, of course.
If he don't pay in 30 days then the government can start seizing assets and auction them off EVEN IF he appeals, which absolutely would be horrible for him. If he won on appeal after that he'd get compensated for it, but not without collateral damage due to his complete lack of control over what assets to keep or sell.