Neverov finished in 1943 the Leningrad Conservatory where he studied with
Sofya Vladimirovna Khekimyan Akimova-Ershova
(March 15 (27), 1887 Tbilisi, Georgia - January 16, 1972 Saint Petersburg, CCCP).
Neverov was a a soloist at the Maly Theatre (St.Petersburg), also known as The Academic Maly Drama Theatre.
After, Neverov became a soloist for the radio-information center of the Soviet Ministers of the CCCP.
Neverov was a prolific recording artist but really never a top rank tenor. He is also referred as a baritone.