(Foolishly realizing he should leave this to the engineers)
You may be surprised to learn that the theoretical most efficient propellor has only one blade!
There are a host of reasons why this isn't done in practice, but the best way for me to explain would be to have you think of the blade as a miniature wing.
Just like in aircraft, the airfoil for this "wing" is selected with its desired performance in mind (high lift, high efficiency, etc). Examine the blades and you will also notice differences in aspect ratio (the comparison of the length to chord).
Engine power and gearing are important. How fast will the blade turn? One of the biggest reasons more blades are added is because it is the only possible alternative. To make a 2-bladed prop develop more power, you might have to lengthen the blades. There is an obvious and not-so obvious limitation here. The obvious is the ground that gets in your way (this is why the Corsair's wings are bent). The not-so-obvious is the fact that the tips of the blades approach the speed of sound at full rpm. Example: Huey helicopters "thump" because those long blade tips are right at the speed of sound.
The point to all the rambling? The Germans and Allies took different approaches to the same problem. From my uneducated eye it appears the Germans went with high-lift, low aspect ratio blades, and the Allies went for efficient, high aspect ratio blades.
Once again, engineers shoot holes in this.
