225716400 has 540 divisors, whose sum is σ = 987646608. Its totient is φ = 46725120.

The previous prime is 225716399. The next prime is 225716423. The reversal of 225716400 is 4617522.

225716400 is a `hidden beast` number, since 2 + 257 + 1 + 6 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4258774 + ... + 4258826.

Almost surely, 2^225716400 is an apocalyptic number.

225716400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493823304).

225716400 is an abundant number, since it is smaller than the sum of its proper divisors (761930208).

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

225716400 is a wasteful number, since it uses less digits than its factorization.

225716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 225716400 is about 15023.8610217214. The cubic root of 225716400 is about 608.8650400219.

The spelling of 225716400 in words is "two hundred twenty-five million, seven hundred sixteen thousand, four hundred".