480556800000 has 1008 divisors, whose sum is σ = 1818191597040. Its totient is φ = 126904320000.

The previous prime is 480556799993. The next prime is 480556800047. The reversal of 480556800000 is 8655084.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 83 ways as a sum of consecutive naturals, for example, 4665599949 + ... + 4665600051.

It is an arithmetic number, because the mean of its divisors is an integer number (1803761505).

Almost surely, 2^480556800000 is an apocalyptic number.

480556800000 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 480556800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909095798520).

480556800000 is an abundant number, since it is smaller than the sum of its proper divisors (1337634797040).

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

480556800000 is an frugal number, since it uses more digits than its factorization.

480556800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 480556800000 in words is "four hundred eighty billion, five hundred fifty-six million, eight hundred thousand".