480656386560 has 320 divisors, whose sum is σ = 1774235941632. Its totient is φ = 108730515456.

The previous prime is 480656386523. The next prime is 480656386571. The reversal of 480656386560 is 65683656084.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×480656386560³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 480656386560.

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 31 ways as a sum of consecutive naturals, for example, 5168634 + ... + 5260806.

Almost surely, 2^480656386560 is an apocalyptic number.

480656386560 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 480656386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887117970816).

480656386560 is an abundant number, since it is smaller than the sum of its proper divisors (1293579555072).

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

480656386560 is an equidigital number, since it uses as much as digits as its factorization.

480656386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92303 (or 92287 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 480656386560 in words is "four hundred eighty billion, six hundred fifty-six million, three hundred eighty-six thousand, five hundred sixty".