45185904 has 40 divisors (see below), whose sum is σ = 129701520. Its totient is φ = 15061824.

The previous prime is 45185873. The next prime is 45185909. The reversal of 45185904 is 40958154.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45185909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51867 + ... + 52730.

It is an arithmetic number, because the mean of its divisors is an integer number (3242538).

Almost surely, 2^45185904 is an apocalyptic number.

It is an amenable number.

45185904 is an abundant number, since it is smaller than the sum of its proper divisors (84515616).

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

45185904 is a wasteful number, since it uses less digits than its factorization.

45185904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104614 (or 104602 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 45185904 is about 6722.0461170688. The cubic root of 45185904 is about 356.1784654153.

The spelling of 45185904 in words is "forty-five million, one hundred eighty-five thousand, nine hundred four".