478727884800 has 1638 divisors, whose sum is σ = 1993261059846. Its totient is φ = 113865523200.

The previous prime is 478727884799. The next prime is 478727884801. The reversal of 478727884800 is 8488727874.

478727884800 is a `hidden beast` number, since 4 + 7 + 8 + 72 + 7 + 88 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (478727884799) and next prime (478727884801).

It can be written as a sum of positive squares in 3 ways, for example, as 61060386816 + 417667497984 = 247104^2 + 646272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478727884801) 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 125 ways as a sum of consecutive naturals, for example, 9032601574 + ... + 9032601626.

Almost surely, 2^478727884800 is an apocalyptic number.

478727884800 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 478727884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996630529923).

478727884800 is an abundant number, since it is smaller than the sum of its proper divisors (1514533175046).

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

478727884800 is an equidigital number, since it uses as much as digits as its factorization.

478727884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 44957696, while the sum is 63.

The spelling of 478727884800 in words is "four hundred seventy-eight billion, seven hundred twenty-seven million, eight hundred eighty-four thousand, eight hundred".