480555455988800 has 42 divisors (see below), whose sum is σ = 1182466768896378. Its totient is φ = 192222182394880.

The previous prime is 480555455988799. The next prime is 480555455988809. The reversal of 480555455988800 is 8889554555084.

It can be written as a sum of positive squares in 3 ways, for example, as 121738210518016 + 358817245470784 = 11033504^2 + 18942472^2 .

It is not an unprimeable number, because it can be changed into a prime (480555455988809) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 150173578397 + ... + 150173581596.

It is an arithmetic number, because the mean of its divisors is an integer number (28153970688009).

Almost surely, 2^{480555455988800} is an apocalyptic number.

480555455988800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480555455988800 is an abundant number, since it is smaller than the sum of its proper divisors (701911312907578).

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

480555455988800 is a wasteful number, since it uses less digits than its factorization.

480555455988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300347160015 (or 300347160000 counting only the distinct ones).

The product of its (nonzero) digits is 1843200000, while the sum is 74.

The spelling of 480555455988800 in words is "four hundred eighty trillion, five hundred fifty-five billion, four hundred fifty-five million, nine hundred eighty-eight thousand, eight hundred".