478814872320 has 720 divisors, whose sum is σ = 1780269809472. Its totient is φ = 122783662080.

The previous prime is 478814872267. The next prime is 478814872363. The reversal of 478814872320 is 23278418874.

478814872320 is a `hidden beast` number, since 47 + 8 + 81 + 487 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 310313469 + ... + 310315011.

Almost surely, 2^478814872320 is an apocalyptic number.

478814872320 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 478814872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890134904736).

478814872320 is an abundant number, since it is smaller than the sum of its proper divisors (1301454937152).

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

478814872320 is a wasteful number, since it uses less digits than its factorization.

478814872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 478814872320 in words is "four hundred seventy-eight billion, eight hundred fourteen million, eight hundred seventy-two thousand, three hundred twenty".