480520872 has 96 divisors (see below), whose sum is σ = 1434232800. Its totient is φ = 144402048.

The previous prime is 480520871. The next prime is 480520877. The reversal of 480520872 is 278025084.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (480520871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34279 + ... + 46217.

It is an arithmetic number, because the mean of its divisors is an integer number (14939925).

Almost surely, 2^480520872 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 480520872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717116400).

480520872 is an abundant number, since it is smaller than the sum of its proper divisors (953711928).

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

480520872 is a wasteful number, since it uses less digits than its factorization.

480520872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12007 (or 12000 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 480520872 is about 21920.7862997658. The cubic root of 480520872 is about 783.2566404268.

The spelling of 480520872 in words is "four hundred eighty million, five hundred twenty thousand, eight hundred seventy-two".