56438000 has 40 divisors (see below), whose sum is σ = 136471920. Its totient is φ = 22574400.

The previous prime is 56437991. The next prime is 56438009. The reversal of 56438000 is 83465.

It is an interprime number because it is at equal distance from previous prime (56437991) and next prime (56438009).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56438009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12110 + ... + 16109.

It is an arithmetic number, because the mean of its divisors is an integer number (3411798).

Almost surely, 2^56438000 is an apocalyptic number.

56438000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56438000 is an abundant number, since it is smaller than the sum of its proper divisors (80033920).

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

56438000 is a wasteful number, since it uses less digits than its factorization.

56438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28242 (or 28226 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 56438000 is about 7512.5228785009. The cubic root of 56438000 is about 383.5811042568.

The spelling of 56438000 in words is "fifty-six million, four hundred thirty-eight thousand".