45957920 has 24 divisors (see below), whose sum is σ = 108575964. Its totient is φ = 18383104.

The previous prime is 45957889. The next prime is 45957971. The reversal of 45957920 is 2975954.

It can be written as a sum of positive squares in 2 ways, for example, as 44782864 + 1175056 = 6692^2 + 1084^2 .

It is a super-2 number, since 2×45957920² = 4224260821452800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143459 + ... + 143778.

Almost surely, 2^45957920 is an apocalyptic number.

45957920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45957920 is an abundant number, since it is smaller than the sum of its proper divisors (62618044).

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

45957920 is a wasteful number, since it uses less digits than its factorization.

45957920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287252 (or 287244 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 45957920 is about 6779.2270945883. The cubic root of 45957920 is about 358.1954967732.

The spelling of 45957920 in words is "forty-five million, nine hundred fifty-seven thousand, nine hundred twenty".