45876400 has 30 divisors (see below), whose sum is σ = 110219012. Its totient is φ = 18350400.

The previous prime is 45876379. The next prime is 45876401. The reversal of 45876400 is 467854.

It is not an unprimeable number, because it can be changed into a prime (45876401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56946 + ... + 57745.

Almost surely, 2^45876400 is an apocalyptic number.

45876400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45876400 is an abundant number, since it is smaller than the sum of its proper divisors (64342612).

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

45876400 is a wasteful number, since it uses less digits than its factorization.

45876400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114709 (or 114698 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 45876400 is about 6773.2119411694. The cubic root of 45876400 is about 357.9835827807.

The spelling of 45876400 in words is "forty-five million, eight hundred seventy-six thousand, four hundred".