225480 has 32 divisors (see below), whose sum is σ = 676800. Its totient is φ = 60096.

The previous prime is 225479. The next prime is 225493. The reversal of 225480 is 84522.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 820 + ... + 1059.

It is an arithmetic number, because the mean of its divisors is an integer number (21150).

2²²⁵⁴⁸⁰ is an apocalyptic number.

225480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225480 is an abundant number, since it is smaller than the sum of its proper divisors (451320).

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

225480 is a wasteful number, since it uses less digits than its factorization.

225480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 225480 is about 474.8473438906. The cubic root of 225480 is about 60.8652404499.

The spelling of 225480 in words is "two hundred twenty-five thousand, four hundred eighty".