45984932 has 72 divisors (see below), whose sum is σ = 102070584. Its totient is φ = 17998848.

The previous prime is 45984901. The next prime is 45984937. The reversal of 45984932 is 23948954.

It can be written as a sum of positive squares in 4 ways, for example, as 23193856 + 22791076 = 4816^2 + 4774^2 .

It is a super-2 number, since 2×45984932² = 4229227942089248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45984937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123098 + ... + 123470.

It is an arithmetic number, because the mean of its divisors is an integer number (1417647).

Almost surely, 2^45984932 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 45984932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51035292).

45984932 is an abundant number, since it is smaller than the sum of its proper divisors (56085652).

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

45984932 is a wasteful number, since it uses less digits than its factorization.

45984932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 436 counting only the distinct ones).

The product of its digits is 311040, while the sum is 44.

The square root of 45984932 is about 6781.2190644456. The cubic root of 45984932 is about 358.2656601006.

The spelling of 45984932 in words is "forty-five million, nine hundred eighty-four thousand, nine hundred thirty-two".