225438720 has 176 divisors, whose sum is σ = 777204960. Its totient is φ = 55443456.

The previous prime is 225438659. The next prime is 225438757. The reversal of 225438720 is 27834522.

225438720 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 15 ways as a sum of consecutive naturals, for example, 199116 + ... + 200244.

Almost surely, 2^225438720 is an apocalyptic number.

225438720 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 225438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388602480).

225438720 is an abundant number, since it is smaller than the sum of its proper divisors (551766240).

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

225438720 is a wasteful number, since it uses less digits than its factorization.

225438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 225438720 is about 15014.6168782290. The cubic root of 225438720 is about 608.6152589951.

The spelling of 225438720 in words is "two hundred twenty-five million, four hundred thirty-eight thousand, seven hundred twenty".