225658400 has 72 divisors (see below), whose sum is σ = 600992784. Its totient is φ = 82054400.

The previous prime is 225658379. The next prime is 225658423. The reversal of 225658400 is 4856522.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 4022 + ... + 21621.

It is an arithmetic number, because the mean of its divisors is an integer number (8347122).

Almost surely, 2^225658400 is an apocalyptic number.

225658400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225658400 is an abundant number, since it is smaller than the sum of its proper divisors (375334384).

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

225658400 is a wasteful number, since it uses less digits than its factorization.

225658400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25674 (or 25661 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 225658400 is about 15021.9306349084. The cubic root of 225658400 is about 608.8128843116.

The spelling of 225658400 in words is "two hundred twenty-five million, six hundred fifty-eight thousand, four hundred".