Is it too heavy??

So I recently bought my first home and now I’m trying to figure out if a safe is too heavy for the second floor. The safes I been looking at are just entry lvl cheap safes ranging from either 300-400lbs. There’s a small closet in one of the bedrooms that I can put all my guns and stuff in, but it’s on the second floor. The house was built in 2006 so it’s def older. Refuse to put it in garage, and nowhere to put it on first floor.

Would something like 400lbs be fine on the second floor, or would I have to reinforce the floor? I don’t want to get into all that so if it’s going to require stuff like that, might just get some sort of a gun cage or something lighter. Need input as internet has yielded me mixed answers.