paean vs praise

paean and praise both are nouns.

Word	Noun	Adjective	Verb	Adverb
paean	Yes	No	No	No
praise	Yes	No	Yes	No

As nouns, praise is a hypernym of paean; that is, praise is a word with a broader meaning than paean:

Other hypernyms of paean include congratulations, extolment, kudos.

paean (noun)	praise (noun)
a formal expression of praise	an expression of approval and commendation
(ancient Greece) a hymn of praise (especially one sung in ancient Greece to invoke or thank a deity)	offering words of homage as an act of worship

paean (verb)	praise (verb)
	express approval of