Dont push. You have 0 fold equity and you are only 1/3 to win against whatever his hand is. calling and folding the river unimproved/ shoving if you hit is much better than shoving now.
Whether or not you can call is just a pot odds question. You have to call $4.60 so you need to win at least $9.20. Theres $9.20 in the pot already so you can call. Hes not folding any pair on the river whatever happens.