479971840000 has 195 divisors, whose sum is σ = 1202175565833. Its totient is φ = 191545344000.

The previous prime is 479971839989. The next prime is 479971840021. The reversal of 479971840000 is 48179974.

The square root of 479971840000 is 692800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 478376955904 + 1594884096 = 691648^2 + 39936^2 .

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 1108479784 + ... + 1108480216.

Almost surely, 2^479971840000 is an apocalyptic number.

479971840000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

479971840000 is the 692800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479971840000

479971840000 is an abundant number, since it is smaller than the sum of its proper divisors (722203725833).

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

479971840000 is an frugal number, since it uses more digits than its factorization.

479971840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

Multiplying 479971840000 by its sum of digits (49), we get a square (23518620160000 = 4849600²).

The spelling of 479971840000 in words is "four hundred seventy-nine billion, nine hundred seventy-one million, eight hundred forty thousand".