What kind of noun is poverty?

Yes, the noun poverty is a common noun; an abstract, uncountable noun; a Word for a state of being.

A proper noun is the name of a person, a place, a thing, or a title; for example:

• Poverty Ridge, IL
• Poverty Hollow Road, Newtown, CT or Poverty Pond Road, Danbury, NH
• Southern Poverty Law Center, Montgomery, AL
• "End of Poverty?", 2008 documentary narrated by Martin Sheen