225889480 has 64 divisors (see below), whose sum is σ = 541598400. Its totient is φ = 84545280.

The previous prime is 225889441. The next prime is 225889481. The reversal of 225889480 is 84988522.

It is a self number, because there is not a number n which added to its sum of digits gives 225889480.

It is not an unprimeable number, because it can be changed into a prime (225889481) 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, 61290 + ... + 64870.

It is an arithmetic number, because the mean of its divisors is an integer number (8462475).

Almost surely, 2^225889480 is an apocalyptic number.

225889480 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 225889480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270799200).

225889480 is an abundant number, since it is smaller than the sum of its proper divisors (315708920).

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

225889480 is a wasteful number, since it uses less digits than its factorization.

225889480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The square root of 225889480 is about 15029.6200883455. The cubic root of 225889480 is about 609.0206267623.

The spelling of 225889480 in words is "two hundred twenty-five million, eight hundred eighty-nine thousand, four hundred eighty".