479974656000 has 1536 divisors, whose sum is σ = 1988621107200. Its totient is φ = 100329062400.

The previous prime is 479974655983. The next prime is 479974656011. The reversal of 479974656000 is 656479974.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3779327937 + ... + 3779328063.

It is an arithmetic number, because the mean of its divisors is an integer number (1294675200).

Almost surely, 2^479974656000 is an apocalyptic number.

479974656000 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 479974656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994310553600).

479974656000 is an abundant number, since it is smaller than the sum of its proper divisors (1508646451200).

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

479974656000 is a wasteful number, since it uses less digits than its factorization.

479974656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

It can be divided in two parts, 479 and 974656000, that added together give a palindrome (974656479).

The spelling of 479974656000 in words is "four hundred seventy-nine billion, nine hundred seventy-four million, six hundred fifty-six thousand".