Good name for a pet rat????

Mine have latin names. Malus and Pyrus which is Apple and Pear

Garibaldi

I would suggest Scabbers from the Harry Potter series, if you are indeed a fan. It was the name of the rat that Ron had in the books and in the movies. Maybe yours is magical too!

depends on its breeding, gender and color. And does it have any features?

It depends on the color, & sex
however names I really like are:
Cookie, Brownie, Coco, Cupcake, Caramel, Fudge, Peanut, Toby, Fluffy, Fuzzy, Jack, Daisy, Einstein, Master Splinter, Flash, Ben, Bob, Eva, Vanna, & Panda

Sabastion or Lilly

Stewart Little

All my rats are named after plants like daisy and lilac

Batman

Girl or boy? I like Nibbles, Peanut, Ratticus, Skittles, Nicodemus, could probably think of more...