479875760 has 160 divisors (see below), whose sum is σ = 1421159040. Its totient is φ = 146571264.

The previous prime is 479875757. The next prime is 479875801. The reversal of 479875760 is 67578974.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209984 + ... + 212256.

It is an arithmetic number, because the mean of its divisors is an integer number (8882244).

Almost surely, 2^479875760 is an apocalyptic number.

479875760 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 479875760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710579520).

479875760 is an abundant number, since it is smaller than the sum of its proper divisors (941283280).

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

479875760 is a wasteful number, since it uses less digits than its factorization.

479875760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 53.

The square root of 479875760 is about 21906.0667396044. The cubic root of 479875760 is about 782.9059691885.

The spelling of 479875760 in words is "four hundred seventy-nine million, eight hundred seventy-five thousand, seven hundred sixty".