479568720 has 80 divisors (see below), whose sum is σ = 1489404672. Its totient is φ = 127649280.

The previous prime is 479568709. The next prime is 479568767. The reversal of 479568720 is 27865974.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 479568720.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 157129 + ... + 160151.

Almost surely, 2^479568720 is an apocalyptic number.

479568720 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 479568720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744702336).

479568720 is an abundant number, since it is smaller than the sum of its proper divisors (1009835952).

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

479568720 is a wasteful number, since it uses less digits than its factorization.

479568720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 479568720 is about 21899.0575139662. The cubic root of 479568720 is about 782.7389573941.

The spelling of 479568720 in words is "four hundred seventy-nine million, five hundred sixty-eight thousand, seven hundred twenty".