478319800320 has 624 divisors, whose sum is σ = 1731096686592. Its totient is φ = 126685347840.

The previous prime is 478319800319. The next prime is 478319800333. The reversal of 478319800320 is 23008913874.

478319800320 is a `hidden beast` number, since 4 + 7 + 8 + 319 + 8 + 0 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1109790505 + ... + 1109790935.

It is an arithmetic number, because the mean of its divisors is an integer number (2774193408).

Almost surely, 2^478319800320 is an apocalyptic number.

478319800320 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 478319800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865548343296).

478319800320 is an abundant number, since it is smaller than the sum of its proper divisors (1252776886272).

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

478319800320 is an equidigital number, since it uses as much as digits as its factorization.

478319800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 478319800320 in words is "four hundred seventy-eight billion, three hundred nineteen million, eight hundred thousand, three hundred twenty".