480116160 has 140 divisors (see below), whose sum is σ = 1707949848. Its totient is φ = 128024064.

The previous prime is 480116137. The next prime is 480116173. The reversal of 480116160 is 61611084.

480116160 is a `hidden beast` number, since 48 + 0 + 1 + 1 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16659 + ... + 35181.

Almost surely, 2^480116160 is an apocalyptic number.

480116160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853974924).

480116160 is an abundant number, since it is smaller than the sum of its proper divisors (1227833688).

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

480116160 is a wasteful number, since it uses less digits than its factorization.

480116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18552 (or 18533 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 480116160 is about 21911.5531170203. The cubic root of 480116160 is about 783.0366830042.

The spelling of 480116160 in words is "four hundred eighty million, one hundred sixteen thousand, one hundred sixty".