45956000 has 48 divisors (see below), whose sum is σ = 112923720. Its totient is φ = 18380800.

The previous prime is 45955993. The next prime is 45956017. The reversal of 45956000 is 65954.

It can be written as a sum of positive squares in 4 ways, for example, as 7862416 + 38093584 = 2804^2 + 6172^2 .

It is a super-2 number, since 2×45956000² = 4223907872000000, which contains 22 as substring.

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, 1745 + ... + 9744.

Almost surely, 2^45956000 is an apocalyptic number.

45956000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45956000 is an abundant number, since it is smaller than the sum of its proper divisors (66967720).

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

45956000 is a wasteful number, since it uses less digits than its factorization.

45956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11514 (or 11496 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 45956000 is about 6779.0854840458. The cubic root of 45956000 is about 358.1905085512.

The spelling of 45956000 in words is "forty-five million, nine hundred fifty-six thousand".