479982624 has 96 divisors (see below), whose sum is σ = 1455402816. Its totient is φ = 136888320.

The previous prime is 479982619. The next prime is 479982631. The reversal of 479982624 is 426289974.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4584 + ... + 31320.

It is an arithmetic number, because the mean of its divisors is an integer number (15160446).

Almost surely, 2^479982624 is an apocalyptic number.

479982624 is a gapful number since it is divisible by the number (44) 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 479982624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727701408).

479982624 is an abundant number, since it is smaller than the sum of its proper divisors (975420192).

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

479982624 is a wasteful number, since it uses less digits than its factorization.

479982624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26778 (or 26770 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 479982624 is about 21908.5057454862. The cubic root of 479982624 is about 782.9640802392.

The spelling of 479982624 in words is "four hundred seventy-nine million, nine hundred eighty-two thousand, six hundred twenty-four".