479352384 has 224 divisors, whose sum is σ = 1681520640. Its totient is φ = 130927104.

The previous prime is 479352337. The next prime is 479352413. The reversal of 479352384 is 483253974.

479352384 is a `hidden beast` number, since 47 + 9 + 3 + 523 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277347 + ... + 279069.

Almost surely, 2^479352384 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 479352384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840760320).

479352384 is an abundant number, since it is smaller than the sum of its proper divisors (1202168256).

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

479352384 is a wasteful number, since it uses less digits than its factorization.

479352384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1758 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 479352384 is about 21894.1175661409. The cubic root of 479352384 is about 782.6212404559.

The spelling of 479352384 in words is "four hundred seventy-nine million, three hundred fifty-two thousand, three hundred eighty-four".