I would think that the more flutes you have the better the finish. Tim
Partly correct but cutting geometry is the major problem with that premise. Standard 4-flute end mills are ground assuming that most will be used on ferrous materials. The cutting edges are much "blunter" than one would like for non-ferrous materials, to withstand higher cutting pressures.
When used on aluminum, for example, the cutting edges will tend to heat up much more than free-cutting two and three-flute end mills and in extreme cases, chip welding occurs.
Now on horizontal mills, that's a more accurate statement. The large diameter cutters used on these machines with many spiral teeth can easily be ground with lots of rake and clearance, producing a fine surface finish on almost any material. But if the cutters teeth are sharper than 4-flute end mills, one might ask, then why do they not heat up like 4-flute end mills ?
First, because they have so many teeth, these large cutters remove only a tiny amount of material per tooth compared to an end mill when making an equivalent DOC. Next, and also because of the many teeth, the individual teeth are in actual contact with the workpiece only a small fraction of the time that a 4-flute cutter is, so much less heat is generated.
In the photo below, the sharpness of the teeth in the slab cutter is apparent. Because the teeth are so keen and also due to the high helix angle, the surface finish produced by this tool looks like that produced by a surface grinder on almost any material.