228956400 has 90 divisors (see below), whose sum is σ = 794554800. Its totient is φ = 61054080.

The previous prime is 228956389. The next prime is 228956437. The reversal of 228956400 is 4659822.

It is a happy number.

228956400 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 5 + 640 + 0 = 666.

228956400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28200 + ... + 35399.

Almost surely, 2^228956400 is an apocalyptic number.

228956400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228956400 is an abundant number, since it is smaller than the sum of its proper divisors (565598400).

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

228956400 is a wasteful number, since it uses less digits than its factorization.

228956400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63623 (or 63609 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 228956400 is about 15131.3052972967. The cubic root of 228956400 is about 611.7644871069.

The spelling of 228956400 in words is "two hundred twenty-eight million, nine hundred fifty-six thousand, four hundred".