400 W TV Inverter to Recharge TM Battery?

[DRanger]

This weekend I arrived at my camping destination with a near dead TM battery on account of powering the fridge on DC while traveling.

I don't have a generator and I managed to conserve power over the weekend.

So I was thinking that I needed to buy a generator to save me from this in the future. I was reviewing all of the many threads on generators throughout the forum when I had a 'duh' moment, maybe ...

My TV has a 400 W power inverter. Can I use it to connect to the TM for the purpose of powering the converter to recharge the battery?

I'm sure an inverter on the TV can be used for this, I just don't know if 400W is enough to do it and if it would do it in reasonable time.