480478720 has 40 divisors (see below), whose sum is σ = 1152028944. Its totient is φ = 192190464.

The previous prime is 480478681. The next prime is 480478723. The reversal of 480478720 is 27874084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480478723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91284 + ... + 96403.

Almost surely, 2^480478720 is an apocalyptic number.

480478720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480478720 is an abundant number, since it is smaller than the sum of its proper divisors (671550224).

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

480478720 is an equidigital number, since it uses as much as digits as its factorization.

480478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187710 (or 187694 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 480478720 is about 21919.8248168182. The cubic root of 480478720 is about 783.2337369476.

The spelling of 480478720 in words is "four hundred eighty million, four hundred seventy-eight thousand, seven hundred twenty".