225604560 has 40 divisors (see below), whose sum is σ = 699374880. Its totient is φ = 60161152.

The previous prime is 225604513. The next prime is 225604567. The reversal of 225604560 is 65406522.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225604567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469770 + ... + 470249.

It is an arithmetic number, because the mean of its divisors is an integer number (17484372).

Almost surely, 2^225604560 is an apocalyptic number.

225604560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225604560 is an abundant number, since it is smaller than the sum of its proper divisors (473770320).

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

225604560 is a wasteful number, since it uses less digits than its factorization.

225604560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940035 (or 940029 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 225604560 is about 15020.1384813856. The cubic root of 225604560 is about 608.7644614256.

The spelling of 225604560 in words is "two hundred twenty-five million, six hundred four thousand, five hundred sixty".