479760624 has 160 divisors (see below), whose sum is σ = 1601088000. Its totient is φ = 134701056.

The previous prime is 479760623. The next prime is 479760629. The reversal of 479760624 is 426067974.

It is a self number, because there is not a number n which added to its sum of digits gives 479760624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479760623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177072 + ... + 179760.

It is an arithmetic number, because the mean of its divisors is an integer number (10006800).

Almost surely, 2^479760624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479760624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800544000).

479760624 is an abundant number, since it is smaller than the sum of its proper divisors (1121327376).

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

479760624 is a wasteful number, since it uses less digits than its factorization.

479760624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 479760624 is about 21903.4386341506. The cubic root of 479760624 is about 782.8433502920.

The spelling of 479760624 in words is "four hundred seventy-nine million, seven hundred sixty thousand, six hundred twenty-four".