exaggerate vs tout

exaggerate is not a noun while tout is a noun.

Word	Noun	Adjective	Verb	Adverb
exaggerate	No	No	Yes	No
tout	Yes	No	Yes	No

As verbs, tout is a hyponym of exaggerate; that is, tout is a word with a more specific, narrower meaning than exaggerate:

exaggerate (noun)	tout (noun)
	someone who advertises for customers in an especially brazen way
	one who sells advice about gambling or speculation (especially at the racetrack)
	someone who buys tickets to an event in order to resell them at a profit

exaggerate (verb)	tout (verb)
to enlarge beyond bounds or the truth	show off
do something to an excessive degree	advertize in strongly positive terms