225664407 has 32 divisors (see below), whose sum is σ = 351682560. Its totient is φ = 142814880.

The previous prime is 225664403. The next prime is 225664423. The reversal of 225664407 is 704466522.

225664407 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 644 + 0 + 7 = 666.

It is not a de Polignac number, because 225664407 - 2² = 225664403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225664403) 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, 41818 + ... + 46904.

It is an arithmetic number, because the mean of its divisors is an integer number (10990080).

Almost surely, 2^225664407 is an apocalyptic number.

225664407 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

225664407 is a deficient number, since it is larger than the sum of its proper divisors (126018153).

225664407 is a wasteful number, since it uses less digits than its factorization.

225664407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5180 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 225664407 is about 15022.1305745889. The cubic root of 225664407 is about 608.8182864394.

The spelling of 225664407 in words is "two hundred twenty-five million, six hundred sixty-four thousand, four hundred seven".