225816480 has 72 divisors (see below), whose sum is σ = 770603652. Its totient is φ = 60217344.

The previous prime is 225816469. The next prime is 225816511. The reversal of 225816480 is 84618522.

225816480 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 1 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 203575824 + 22240656 = 14268^2 + 4716^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76969 + ... + 79848.

Almost surely, 2^225816480 is an apocalyptic number.

225816480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225816480 is an abundant number, since it is smaller than the sum of its proper divisors (544787172).

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

225816480 is a wasteful number, since it uses less digits than its factorization.

225816480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156838 (or 156827 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 225816480 is about 15027.1913543416. The cubic root of 225816480 is about 608.9550145939.

The spelling of 225816480 in words is "two hundred twenty-five million, eight hundred sixteen thousand, four hundred eighty".