225792480 has 96 divisors (see below), whose sum is σ = 718308864. Its totient is φ = 59613696.

The previous prime is 225792439. The next prime is 225792481. The reversal of 225792480 is 84297522.

225792480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225792481) 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, 47157 + ... + 51723.

It is an arithmetic number, because the mean of its divisors is an integer number (7482384).

Almost surely, 2^225792480 is an apocalyptic number.

225792480 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 225792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359154432).

225792480 is an abundant number, since it is smaller than the sum of its proper divisors (492516384).

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

225792480 is a wasteful number, since it uses less digits than its factorization.

225792480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 225792480 is about 15026.3927807042. The cubic root of 225792480 is about 608.9334403815.

The spelling of 225792480 in words is "two hundred twenty-five million, seven hundred ninety-two thousand, four hundred eighty".