914309032 has 192 divisors, whose sum is σ = 2304288000. Its totient is φ = 337841280.

The previous prime is 914309023. The next prime is 914309063. The reversal of 914309032 is 230903419.

It is a super-2 number, since 2×914309032² = 1671922011993554048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 914308985 and 914309003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12877557 + ... + 12877627.

It is an arithmetic number, because the mean of its divisors is an integer number (12001500).

Almost surely, 2^914309032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 914309032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152144000).

914309032 is an abundant number, since it is smaller than the sum of its proper divisors (1389978968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

914309032 is a wasteful number, since it uses less digits than its factorization.

914309032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 914309032 is about 30237.5434187369. The cubic root of 914309032 is about 970.5792522776.

The spelling of 914309032 in words is "nine hundred fourteen million, three hundred nine thousand, thirty-two".