45368720 has 40 divisors (see below), whose sum is σ = 105763320. Its totient is φ = 18099200.

The previous prime is 45368707. The next prime is 45368737. The reversal of 45368720 is 2786354.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20647936 + 24720784 = 4544^2 + 4972^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 55676 + ... + 56484.

It is an arithmetic number, because the mean of its divisors is an integer number (2644083).

Almost surely, 2^45368720 is an apocalyptic number.

45368720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45368720 is an abundant number, since it is smaller than the sum of its proper divisors (60394600).

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

45368720 is a wasteful number, since it uses less digits than its factorization.

45368720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 45368720 is about 6735.6306312030. The cubic root of 45368720 is about 356.6581688759.

The spelling of 45368720 in words is "forty-five million, three hundred sixty-eight thousand, seven hundred twenty".