479837760 has 224 divisors, whose sum is σ = 1591494912. Its totient is φ = 122388480.

The previous prime is 479837759. The next prime is 479837777. The reversal of 479837760 is 67738974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2873197 + ... + 2873363.

It is an arithmetic number, because the mean of its divisors is an integer number (7104888).

Almost surely, 2^479837760 is an apocalyptic number.

479837760 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 479837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795747456).

479837760 is an abundant number, since it is smaller than the sum of its proper divisors (1111657152).

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

479837760 is a wasteful number, since it uses less digits than its factorization.

479837760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The square root of 479837760 is about 21905.1993827949. The cubic root of 479837760 is about 782.8853032755.

The spelling of 479837760 in words is "four hundred seventy-nine million, eight hundred thirty-seven thousand, seven hundred sixty".