479986816 has 64 divisors (see below), whose sum is σ = 1050436800. Its totient is φ = 217451520.

The previous prime is 479986813. The next prime is 479986817. The reversal of 479986816 is 618689974.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (479986813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51646 + ... + 60226.

It is an arithmetic number, because the mean of its divisors is an integer number (16413075).

Almost surely, 2^479986816 is an apocalyptic number.

479986816 is a gapful number since it is divisible by the number (46) 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 479986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525218400).

479986816 is an abundant number, since it is smaller than the sum of its proper divisors (570449984).

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

479986816 is a wasteful number, since it uses less digits than its factorization.

479986816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8637 (or 8625 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 58.

The square root of 479986816 is about 21908.6014158823. The cubic root of 479986816 is about 782.9663596105.

The spelling of 479986816 in words is "four hundred seventy-nine million, nine hundred eighty-six thousand, eight hundred sixteen".