You can use Max for creating pictures, but it is not capable of doing the proper CAD work needed for any type of production.
If you want to use it as a rendering package, export your data from Solidworks and into Max as a mesh, and then you can texture/render it to your hearts content.
It simply isn’t the correct tool for product design beyond making pretty pictures.
Inventor is a proper CAD package, so yes. Solidworks, Inventor, Pro Engineer, Catia, are all solid parametric modellers. Rhino and Alias can also do precise 3D NURBS surfacing, but lack the parametric (features defined by parameters and dimensions) that the others are based around.
Wikipedia is good at shedding more light on the specific terms if you want to learn more.