225400560 has 160 divisors (see below), whose sum is σ = 871229952. Its totient is φ = 46832640.

The previous prime is 225400541. The next prime is 225400561. The reversal of 225400560 is 65004522.

225400560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 225400560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225400561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12382 + ... + 24578.

Almost surely, 2^225400560 is an apocalyptic number.

225400560 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 225400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435614976).

225400560 is an abundant number, since it is smaller than the sum of its proper divisors (645829392).

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

225400560 is a wasteful number, since it uses less digits than its factorization.

225400560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12231 (or 12225 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 225400560 is about 15013.3460627536. The cubic root of 225400560 is about 608.5809169666.

The spelling of 225400560 in words is "two hundred twenty-five million, four hundred thousand, five hundred sixty".