45924032 has 56 divisors (see below), whose sum is σ = 113629440. Its totient is φ = 17890560.

The previous prime is 45924019. The next prime is 45924041. The reversal of 45924032 is 23042954.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 45923986 and 45924004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269 + ... + 9587.

Almost surely, 2^45924032 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 45924032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56814720).

45924032 is an abundant number, since it is smaller than the sum of its proper divisors (67705408).

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

45924032 is a wasteful number, since it uses less digits than its factorization.

45924032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9349 (or 9339 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 45924032 is about 6776.7272337021. The cubic root of 45924032 is about 358.1074342315.

Adding to 45924032 its reverse (23042954), we get a palindrome (68966986).

The spelling of 45924032 in words is "forty-five million, nine hundred twenty-four thousand, thirty-two".