225479320 has 64 divisors (see below), whose sum is σ = 556554240. Its totient is φ = 81532800.

The previous prime is 225479299. The next prime is 225479323. The reversal of 225479320 is 23974522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225479323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82699 + ... + 85381.

It is an arithmetic number, because the mean of its divisors is an integer number (8696160).

Almost surely, 2^225479320 is an apocalyptic number.

225479320 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 225479320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278277120).

225479320 is an abundant number, since it is smaller than the sum of its proper divisors (331074920).

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

225479320 is a wasteful number, since it uses less digits than its factorization.

225479320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 225479320 is about 15015.9688332122. The cubic root of 225479320 is about 608.6517926428.

The spelling of 225479320 in words is "two hundred twenty-five million, four hundred seventy-nine thousand, three hundred twenty".