480116760 has 64 divisors (see below), whose sum is σ = 1443847680. Its totient is φ = 127720320.

The previous prime is 480116717. The next prime is 480116783. The reversal of 480116760 is 67611084.

It is a happy number.

480116760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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, 47079 + ... + 56361.

It is an arithmetic number, because the mean of its divisors is an integer number (22560120).

Almost surely, 2^480116760 is an apocalyptic number.

480116760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480116760 is an abundant number, since it is smaller than the sum of its proper divisors (963730920).

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

480116760 is a wasteful number, since it uses less digits than its factorization.

480116760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9728 (or 9724 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 480116760 is about 21911.5668084234. The cubic root of 480116760 is about 783.0370091904.

The spelling of 480116760 in words is "four hundred eighty million, one hundred sixteen thousand, seven hundred sixty".