Prasad remained unbeaten on 71 after a 223-minute vigil during which he hit 11 fours to help Andhra, following on 180 runs behind, reach 152 for five at close on the fourth and final day.
L N Prasad Reddy was the other key contributor with 40 which came from 135 balls and spanned 224 minutes.
The result meant hosts Delhi earned two points for a tally of four from two matches. They now take on Railways in a derby where they will be the hosts.
The final day's play was 'eventless', after the drama on the previous two days which saw a photographer of a national daily being manhandled and cops being called in by the club authorities to throw out the reporters.
The club also threw its gates open to the public today, which had not been the case on the first three days and the reporting of which had sparked a controversy.
A boycott by the media to protest the behaviour of the club officials meant Andhra seamer Shahabuddin's brilliant counter-attack on the third day went unreported.
Shahabuddin cracked 16 boundaries for his 136-ball 115 as he added 118 runs for the seventh wicket with A S K Verma who played a sheet anchor role with 80 from 219 balls.
The stand helped Andhra recover from 140 for six and post 311 in reply to Delhi's 491 in the first innings.
Sanjay Gill, who grabbed six for 91 in first innings, took two for 52 in Andhra's unfinished second essay.