479116160 has 192 divisors, whose sum is σ = 1276203600. Its totient is φ = 171417600.

The previous prime is 479116159. The next prime is 479116171. The reversal of 479116160 is 61611974.

It is a self number, because there is not a number n which added to its sum of digits gives 479116160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11685740 + ... + 11685780.

Almost surely, 2^479116160 is an apocalyptic number.

479116160 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 479116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638101800).

479116160 is an abundant number, since it is smaller than the sum of its proper divisors (797087440).

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

479116160 is a wasteful number, since it uses less digits than its factorization.

479116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 479116160 is about 21888.7222103073. The cubic root of 479116160 is about 782.4926612152.

The spelling of 479116160 in words is "four hundred seventy-nine million, one hundred sixteen thousand, one hundred sixty".