23538400 has 36 divisors (see below), whose sum is σ = 57465072. Its totient is φ = 9415040.

The previous prime is 23538391. The next prime is 23538409. The reversal of 23538400 is 483532.

It is an interprime number because it is at equal distance from previous prime (23538391) and next prime (23538409).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23538409) 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, 13912 + ... + 15511.

It is an arithmetic number, because the mean of its divisors is an integer number (1596252).

Almost surely, 2^23538400 is an apocalyptic number.

23538400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23538400 is an abundant number, since it is smaller than the sum of its proper divisors (33926672).

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

23538400 is a wasteful number, since it uses less digits than its factorization.

23538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29443 (or 29430 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 23538400 is about 4851.6388983518. The cubic root of 23538400 is about 286.5886453135.

The spelling of 23538400 in words is "twenty-three million, five hundred thirty-eight thousand, four hundred".