225484160 has 64 divisors (see below), whose sum is σ = 588070800. Its totient is φ = 81991680.

The previous prime is 225484159. The next prime is 225484169. The reversal of 225484160 is 61484522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225484169) 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, 8975 + ... + 23054.

Almost surely, 2^225484160 is an apocalyptic number.

225484160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225484160 is an abundant number, since it is smaller than the sum of its proper divisors (362586640).

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

225484160 is a wasteful number, since it uses less digits than its factorization.

225484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32059 (or 32047 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 225484160 is about 15016.1299941097. The cubic root of 225484160 is about 608.6561475930.

The spelling of 225484160 in words is "two hundred twenty-five million, four hundred eighty-four thousand, one hundred sixty".