Also the other thing is a fuse, 2410 (imperial) size "brick" type.
Note that inductors have two important parameters, and a number of other less common ones. You're probably never going to know anything about high frequency properties (core losses, AC resistance..), so that's out, but the inductance and current rating are of primary importance. Inductance is probably 47uH as above, and current is probably as much as you can find for a part of that size -- inductors aren't wildly different, they tend to offer as much capacity as they can, in the size they have.
The other things we can tell: it's a molded or composite type chip, and may be called "shielded". It's certainly not a ferrite drum/bobbin type, nor a multilayer chip.
So what's brought things to this point? Inductors rarely fail by themselves, and more likely a nearby switching circuit has already failed, causing the inductor, fuse, and various other things up or downstream of it, to fail in turn. All these must be checked, and replaced if failed. Often that's more than half the electronics in the thing, and, well -- that's why electronics tend to be so disposable these days, there's really very little worth repairing in them sadly.
Tim