225366960 has 320 divisors, whose sum is σ = 911941632. Its totient is φ = 44679168.

The previous prime is 225366959. The next prime is 225366979. The reversal of 225366960 is 69663522.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370977 + ... + 371583.

Almost surely, 2^225366960 is an apocalyptic number.

225366960 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 225366960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455970816).

225366960 is an abundant number, since it is smaller than the sum of its proper divisors (686574672).

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

225366960 is a wasteful number, since it uses less digits than its factorization.

225366960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 225366960 is about 15012.2270166688. The cubic root of 225366960 is about 608.5506754935.

The spelling of 225366960 in words is "two hundred twenty-five million, three hundred sixty-six thousand, nine hundred sixty".