Imo it's not really worth putting 47-584 on a bike that takes 40-622 already. Might be if you want to go all monstercross and put something bigger than 50-584 on
The area of the cross section is pi times radius squared, so the difference between 40mm and 47mm alone is 49mm^2
Then multiply that with the circumference of the wheel
Volume of a 700Cx40mm is 2454mm^3
Volume of a 65oBx47mm is 3318mm^3
Yes! I found that you found it :) It's in my list too, though I'm not sure 700x40c clearance translates to 650x47b.