It is slightly higher than "kontanthjælpen", a last-ditch governmental grant to keep you alive (where you are also entitled to a lot of rebates (childcare, and stuff)) and special purpose grants to make ends meet
An unskilled worker earns about 2300€/month and that is not even close to comfortably.. Median income (still not comfortable) is 3500€/month
A confortable one is probably bigger than 5000€/month..
Denmark is one of the most expensive countries in the world to live in... (especially in the four major Citites (Copenhagen, Aarhus, Odense, Aalborg)
Before you go on about how expensive DK is. If you cook your food and you avoid alcohol, then it's not that much more expensive than other countries. You can eat with 10 euro/day or less (10 if you eat a lot of meat/fish). Most clubs in Aarhus don't charge entrance, so you can also go out for free.
So, yeah, I had a good life for that amount. But we need to add ~200 to correct for student dorm prices.