225264960 has 336 divisors, whose sum is σ = 847319616. Its totient is φ = 54706176.

The previous prime is 225264913. The next prime is 225264973. The reversal of 225264960 is 69462522.

225264960 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 649 + 6 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2105227 + ... + 2105333.

Almost surely, 2^225264960 is an apocalyptic number.

225264960 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 225264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423659808).

225264960 is an abundant number, since it is smaller than the sum of its proper divisors (622054656).

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

225264960 is a wasteful number, since it uses less digits than its factorization.

225264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 225264960 is about 15008.8294013890. The cubic root of 225264960 is about 608.4588526049.

The spelling of 225264960 in words is "two hundred twenty-five million, two hundred sixty-four thousand, nine hundred sixty".