He was born in London and educated at Goldsmiths College. An electrical engineer, he founded Allum Electrical in Auckland in 1922.
He was on the Auckland City Council from 1920 to 1929, and from 1938 to 1941 as deputy mayor. He was on other local bodies (Transport Board, Drainage Board, Harbour Bridge Authority etc.) and associations, e.g. the New Zealand Employers Federation of which he was twice president and cultural organisations for ballet and opera.
He contested the 1931 election in the Auckland West electorate for the Reform Party. That year, there was a coalition between the Reform and United Parties, and both Allum and Hugh Ross Mackenzie for United claimed to be the official coalition candidate. In the end, Mackenzie was the official candidate, and Allum came third, with the electorate being won by the Prime Minister, Michael Joseph Savage.
- "Status of Candidate". The New Zealand Herald. LXVIII (21035). 20 November 1931. p. 13. Retrieved 7 November 2014.
- "Choice of Candidate". The New Zealand Herald. LXVIII (21036). 21 November 1931. p. 14. Retrieved 7 November 2014.
- The General Election, 1931. Government Printer. 1932. p. 1. Retrieved 2 November 2014.
- "Official jubilee medals". Evening Post. 6 May 1935. p. 4. Retrieved 2 July 2013.
- Who’s Who in New Zealand, 10th edition 1971
|Mayor of Auckland City