225408 has 32 divisors (see below), whose sum is σ = 599760. Its totient is φ = 75008.

The previous prime is 225383. The next prime is 225427. The reversal of 225408 is 804522.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91 + ... + 677.

2²²⁵⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299880).

225408 is an abundant number, since it is smaller than the sum of its proper divisors (374352).

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

225408 is an equidigital number, since it uses as much as digits as its factorization.

225408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 592 counting only the distinct ones).

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

The square root of 225408 is about 474.7715239986. The cubic root of 225408 is about 60.8587612886.

The spelling of 225408 in words is "two hundred twenty-five thousand, four hundred eight".