45956304 has 60 divisors (see below), whose sum is σ = 136186596. Its totient is φ = 14416896.

The previous prime is 45956303. The next prime is 45956311. The reversal of 45956304 is 40365954.

It is a happy number.

45956304 is a `hidden beast` number, since 4 + 595 + 63 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 3027600 = 6552^2 + 1740^2 .

It is a super-2 number, since 2×45956304² = 4223963754680832, which contains 22 as substring.

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 (45956303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6939 + ... + 11834.

Almost surely, 2^45956304 is an apocalyptic number.

It is an amenable number.

45956304 is an abundant number, since it is smaller than the sum of its proper divisors (90230292).

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

45956304 is a wasteful number, since it uses less digits than its factorization.

45956304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18804 (or 18795 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 45956304 is about 6779.1079059121. The cubic root of 45956304 is about 358.1912983623.

The spelling of 45956304 in words is "forty-five million, nine hundred fifty-six thousand, three hundred four".