I had a chance to go to a hotel that had a hot spring. I think the best season to bathe in hot springs in Japan is definitely fall, as you can see yellow leaves on trees.
I had to pay 1050 yen to take a bath. According to this ad, the hot spring would make you recover from fatigue, and ladies have smooth skins.
There is this type of hot spring on the roof of a hotel in Japan which is called "Roten Buro", and "Roten" means "open air" and "Buro" is a bath. And the name of this "Roten Buro" was "Unjyou no Yu" or, "The spring above the clouds".
And this was the hot spring this hotel had. I could command the magnificent view from here. Basically the water in hot springs should come from the ground, but I thought this hot water had some groundwater mixed in the running water.
Foreign people aren't accustomed to taking a bath with strangers, but we Japanese just do that.