alphabetical vs abecedarian

alphabetical is not a noun while abecedarian is a noun.

Word	Noun	Adjective	Verb	Adverb
alphabetical	No	Yes	No	No
abecedarian	Yes	Yes	No	No

alphabetical (noun)	abecedarian (noun)
	a novice learning the rudiments of some subject

alphabetical (adjective)	abecedarian (adjective)
arranged in order according to the alphabet	alphabetically arranged (as for beginning readers)
relating to or expressed by a writing system that uses an alphabet