479846905824 has 384 divisors, whose sum is σ = 1523816921088. Its totient is φ = 130271016960.

The previous prime is 479846905817. The next prime is 479846905861. The reversal of 479846905824 is 428509648974.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96217059 + ... + 96222045.

It is an arithmetic number, because the mean of its divisors is an integer number (3968273232).

Almost surely, 2^479846905824 is an apocalyptic number.

479846905824 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 479846905824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761908460544).

479846905824 is an abundant number, since it is smaller than the sum of its proper divisors (1043970015264).

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

479846905824 is a wasteful number, since it uses less digits than its factorization.

479846905824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 66.

The spelling of 479846905824 in words is "four hundred seventy-nine billion, eight hundred forty-six million, nine hundred five thousand, eight hundred twenty-four".