**Update** Since the release of invention, Max no longer wears the Max cape. If you ask him about it he says sadly that he has some more training to do before he can wear it again.
Max runs a very predictable (roughly 6 minute) training route.
He trains Invention in Varrock's East bank. Runs to Horvik's where he trains Smithing and Firemaking just outside. From here, he goes to the tree patch inside Varrock castle to train Woodcutting. He then returns to Varrock's East bank to train Magic and Herblore. And finally he runs to the pottery wheel East of Aubury's to work on Crafting.
Like a normal player, he can be traded (although he will always decline) and followed. He also has a maxed combat level of 138.