479496960 has 216 divisors, whose sum is σ = 1678818960. Its totient is φ = 126345216.

The previous prime is 479496943. The next prime is 479496971. The reversal of 479496960 is 69694974.

It is a junction number, because it is equal to n+sod(n) for n = 479496897 and 479496906.

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, 1232446 + ... + 1232834.

It is an arithmetic number, because the mean of its divisors is an integer number (7772310).

Almost surely, 2^479496960 is an apocalyptic number.

479496960 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 479496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839409480).

479496960 is an abundant number, since it is smaller than the sum of its proper divisors (1199322000).

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

479496960 is a wasteful number, since it uses less digits than its factorization.

479496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 479496960 is about 21897.4190259948. The cubic root of 479496960 is about 782.6999138764.

The spelling of 479496960 in words is "four hundred seventy-nine million, four hundred ninety-six thousand, nine hundred sixty".