Yeah, they all do that, not just the 400EX. I always make sure I use a screwdriver that fits the head of the screw real tight and put it on the head of the screw and tap it with a hammer to jar it. That usually makes them come loose a little easier, but sometimes not. There is a lot of difference from one phillips screwdriver to another, make sure you find one that fits real tight or you've lost the battle before starting. Those little assorted bit sets that come with some tool sets are usually best for that.
If it's too late and you already stripped them, use a dremel to cut a slot in the head of the screws and use a flat screwdriver to remove them.
If it's too late and you already stripped them, use a dremel to cut a slot in the head of the screws and use a flat screwdriver to remove them.