480566476800 has 384 divisors, whose sum is σ = 1765691155200. Its totient is φ = 128145162240.

The previous prime is 480566476783. The next prime is 480566476853. The reversal of 480566476800 is 8674665084.

480566476800 is a `hidden beast` number, since 4 + 8 + 0 + 566 + 4 + 76 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 22107537 + ... + 22129263.

It is an arithmetic number, because the mean of its divisors is an integer number (4598154050).

Almost surely, 2^480566476800 is an apocalyptic number.

480566476800 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 480566476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882845577600).

480566476800 is an abundant number, since it is smaller than the sum of its proper divisors (1285124678400).

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

480566476800 is an equidigital number, since it uses as much as digits as its factorization.

480566476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21776 (or 21737 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 480566476800 in words is "four hundred eighty billion, five hundred sixty-six million, four hundred seventy-six thousand, eight hundred".