45632520 has 48 divisors (see below), whose sum is σ = 148306860. Its totient is φ = 12168576.

The previous prime is 45632513. The next prime is 45632551. The reversal of 45632520 is 2523654.

45632520 is a `hidden beast` number, since 4 + 5 + 632 + 5 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44916804 + 715716 = 6702^2 + 846^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63019 + ... + 63738.

Almost surely, 2^45632520 is an apocalyptic number.

45632520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45632520 is an abundant number, since it is smaller than the sum of its proper divisors (102674340).

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

45632520 is a wasteful number, since it uses less digits than its factorization.

45632520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126774 (or 126767 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45632520 is about 6755.1846754919. The cubic root of 45632520 is about 357.3481057171.

The spelling of 45632520 in words is "forty-five million, six hundred thirty-two thousand, five hundred twenty".