225407688 has 64 divisors (see below), whose sum is σ = 624870720. Its totient is φ = 67180800.

The previous prime is 225407687. The next prime is 225407701. The reversal of 225407688 is 886704522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (225407681) 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, 9106 + ... + 23102.

It is an arithmetic number, because the mean of its divisors is an integer number (9763605).

Almost surely, 2^225407688 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 225407688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312435360).

225407688 is an abundant number, since it is smaller than the sum of its proper divisors (399463032).

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

225407688 is a wasteful number, since it uses less digits than its factorization.

225407688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14078 (or 14074 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 225407688 is about 15013.5834496632. The cubic root of 225407688 is about 608.5873320927.

The spelling of 225407688 in words is "two hundred twenty-five million, four hundred seven thousand, six hundred eighty-eight".