225063360 has 280 divisors, whose sum is σ = 844570320. Its totient is φ = 56733696.

The previous prime is 225063329. The next prime is 225063367. The reversal of 225063360 is 63360522.

225063360 is a `hidden beast` number, since 2 + 25 + 0 + 633 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225063367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 492252 + ... + 492708.

Almost surely, 2^225063360 is an apocalyptic number.

225063360 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 225063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422285160).

225063360 is an abundant number, since it is smaller than the sum of its proper divisors (619506960).

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

225063360 is a wasteful number, since it uses less digits than its factorization.

225063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 225063360 is about 15002.1118513361. Note that the first 3 decimals coincide. The cubic root of 225063360 is about 608.2772858019.

The spelling of 225063360 in words is "two hundred twenty-five million, sixty-three thousand, three hundred sixty".