225604400 has 120 divisors (see below), whose sum is σ = 624111840. Its totient is φ = 76769280.

The previous prime is 225604397. The next prime is 225604439. The reversal of 225604400 is 4406522.

225604400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551396 + ... + 551804.

It is an arithmetic number, because the mean of its divisors is an integer number (5200932).

Almost surely, 2^225604400 is an apocalyptic number.

225604400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312055920).

225604400 is an abundant number, since it is smaller than the sum of its proper divisors (398507440).

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

225604400 is a wasteful number, since it uses less digits than its factorization.

225604400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 225604400 is about 15020.1331552021. The cubic root of 225604400 is about 608.7643175126.

The spelling of 225604400 in words is "two hundred twenty-five million, six hundred four thousand, four hundred".