225716480 has 288 divisors, whose sum is σ = 667554048. Its totient is φ = 72089600.

The previous prime is 225716467. The next prime is 225716489. The reversal of 225716480 is 84617522.

It is a self number, because there is not a number n which added to its sum of digits gives 225716480.

It is not an unprimeable number, because it can be changed into a prime (225716489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5505260 + ... + 5505300.

It is an arithmetic number, because the mean of its divisors is an integer number (2317896).

Almost surely, 2^225716480 is an apocalyptic number.

225716480 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 225716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333777024).

225716480 is an abundant number, since it is smaller than the sum of its proper divisors (441837568).

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

225716480 is a wasteful number, since it uses less digits than its factorization.

225716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 225716480 is about 15023.8636841526. The cubic root of 225716480 is about 608.8651119547.

The spelling of 225716480 in words is "two hundred twenty-five million, seven hundred sixteen thousand, four hundred eighty".