479581608384 has 224 divisors, whose sum is σ = 1456870522880. Its totient is φ = 154543334400.

The previous prime is 479581608271. The next prime is 479581608439. The reversal of 479581608384 is 483806185974.

479581608384 is a `hidden beast` number, since 4 + 7 + 95 + 8 + 160 + 8 + 384 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58545729 + ... + 58553919.

Almost surely, 2^479581608384 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 479581608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728435261440).

479581608384 is an abundant number, since it is smaller than the sum of its proper divisors (977288914496).

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

479581608384 is a wasteful number, since it uses less digits than its factorization.

479581608384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 479581608384 in words is "four hundred seventy-nine billion, five hundred eighty-one million, six hundred eight thousand, three hundred eighty-four".