45956520 has 48 divisors (see below), whose sum is σ = 149359860. Its totient is φ = 12254976.

The previous prime is 45956501. The next prime is 45956527. The reversal of 45956520 is 2565954.

45956520 is a `hidden beast` number, since 4 + 595 + 65 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37970244 + 7986276 = 6162^2 + 2826^2 .

It is a super-2 number, since 2×45956520² = 4224003461020800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45956527) 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, 63469 + ... + 64188.

Almost surely, 2^45956520 is an apocalyptic number.

45956520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45956520 is an abundant number, since it is smaller than the sum of its proper divisors (103403340).

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

45956520 is a wasteful number, since it uses less digits than its factorization.

45956520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127674 (or 127667 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 45956520 is about 6779.1238371931. The cubic root of 45956520 is about 358.1918595417.

The spelling of 45956520 in words is "forty-five million, nine hundred fifty-six thousand, five hundred twenty".