479531616480 has 384 divisors, whose sum is σ = 1957277952000. Its totient is φ = 109606887936.

The previous prime is 479531616467. The next prime is 479531616511. The reversal of 479531616480 is 84616135974.

479531616480 is a `hidden beast` number, since 4 + 7 + 9 + 531 + 61 + 6 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1319949 + ... + 1643571.

It is an arithmetic number, because the mean of its divisors is an integer number (5097078000).

Almost surely, 2^479531616480 is an apocalyptic number.

479531616480 is a gapful number since it is divisible by the number (40) 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 479531616480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978638976000).

479531616480 is an abundant number, since it is smaller than the sum of its proper divisors (1477746335520).

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

479531616480 is a wasteful number, since it uses less digits than its factorization.

479531616480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323668 (or 323640 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 479531616480 in words is "four hundred seventy-nine billion, five hundred thirty-one million, six hundred sixteen thousand, four hundred eighty".