480228864 has 80 divisors (see below), whose sum is σ = 1323598320. Its totient is φ = 154542080.

The previous prime is 480228863. The next prime is 480228887. The reversal of 480228864 is 468822084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480228863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39154 + ... + 49934.

It is an arithmetic number, because the mean of its divisors is an integer number (16544979).

Almost surely, 2^480228864 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 480228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661799160).

480228864 is an abundant number, since it is smaller than the sum of its proper divisors (843369456).

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

480228864 is a wasteful number, since it uses less digits than its factorization.

480228864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10831 (or 10815 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 480228864 is about 21914.1247600720. The cubic root of 480228864 is about 783.0979490540.

The spelling of 480228864 in words is "four hundred eighty million, two hundred twenty-eight thousand, eight hundred sixty-four".