225988480 has 64 divisors (see below), whose sum is σ = 572060880. Its totient is φ = 85073920.

The previous prime is 225988459. The next prime is 225988507. The reversal of 225988480 is 84889522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 225988480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495 + ... + 21265.

Almost surely, 2^225988480 is an apocalyptic number.

225988480 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 225988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286030440).

225988480 is an abundant number, since it is smaller than the sum of its proper divisors (346072400).

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

225988480 is a wasteful number, since it uses less digits than its factorization.

225988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20807 (or 20795 counting only the distinct ones).

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

The square root of 225988480 is about 15032.9132239896. The cubic root of 225988480 is about 609.1095850677.

The spelling of 225988480 in words is "two hundred twenty-five million, nine hundred eighty-eight thousand, four hundred eighty".