I would imagine you can wash it in regular detergent and then line dry it (the metal bits would scrap the dryer drum). If it is dried quickly and not left to sit wet somewhere it shouldn’t rust.

I might choose one of the unscented detergents in case your ferret doesn’t like the smell of the perfumed stuff.

Why do you need to wash it? Hasn’t your ferret gotten it to smell just the way he/she likes?

I moved it and it collected dust and got cat hair on it.

Try starting out by taking outside and shaking it really well. Washing will remove the dust but not necessarily the cat hair.