225672480 has 240 divisors, whose sum is σ = 869387904. Its totient is φ = 54673920.

The previous prime is 225672479. The next prime is 225672511. The reversal of 225672480 is 84276522.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141769 + ... + 143351.

Almost surely, 2^225672480 is an apocalyptic number.

225672480 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 225672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434693952).

225672480 is an abundant number, since it is smaller than the sum of its proper divisors (643715424).

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

225672480 is a wasteful number, since it uses less digits than its factorization.

225672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 225672480 is about 15022.3992757482. The cubic root of 225672480 is about 608.8255463812.

The spelling of 225672480 in words is "two hundred twenty-five million, six hundred seventy-two thousand, four hundred eighty".