480175584 has 96 divisors (see below), whose sum is σ = 1458051840. Its totient is φ = 135524352.

The previous prime is 480175573. The next prime is 480175613. The reversal of 480175584 is 485571084.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51472 + ... + 60080.

It is an arithmetic number, because the mean of its divisors is an integer number (15188040).

Almost surely, 2^480175584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480175584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729025920).

480175584 is an abundant number, since it is smaller than the sum of its proper divisors (977876256).

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

480175584 is a wasteful number, since it uses less digits than its factorization.

480175584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8712 (or 8704 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The square root of 480175584 is about 21912.9090720516. The cubic root of 480175584 is about 783.0689871673.

The spelling of 480175584 in words is "four hundred eighty million, one hundred seventy-five thousand, five hundred eighty-four".