225384960 has 80 divisors (see below), whose sum is σ = 720552096. Its totient is φ = 60100608.

The previous prime is 225384959. The next prime is 225384967. The reversal of 225384960 is 69483522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (225384967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6994 + ... + 22353.

Almost surely, 2^225384960 is an apocalyptic number.

225384960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225384960 is an abundant number, since it is smaller than the sum of its proper divisors (495167136).

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

225384960 is an equidigital number, since it uses as much as digits as its factorization.

225384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29373 (or 29357 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 225384960 is about 15012.8265160162. The cubic root of 225384960 is about 608.5668766565.

The spelling of 225384960 in words is "two hundred twenty-five million, three hundred eighty-four thousand, nine hundred sixty".