479431261584 has 200 divisors, whose sum is σ = 1516756760640. Its totient is φ = 144994579200.

The previous prime is 479431261549. The next prime is 479431261669. The reversal of 479431261584 is 485162134974.

479431261584 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 3 + 12 + 615 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 479431261584.

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 39 ways as a sum of consecutive naturals, for example, 7223269 + ... + 7289339.

Almost surely, 2^479431261584 is an apocalyptic number.

479431261584 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 479431261584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758378380320).

479431261584 is an abundant number, since it is smaller than the sum of its proper divisors (1037325499056).

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

479431261584 is a wasteful number, since it uses less digits than its factorization.

479431261584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66611 (or 66596 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 479431261584 in words is "four hundred seventy-nine billion, four hundred thirty-one million, two hundred sixty-one thousand, five hundred eighty-four".