478207328256 has 360 divisors, whose sum is σ = 1637364368640. Its totient is φ = 136622702592.

The previous prime is 478207328239. The next prime is 478207328273. The reversal of 478207328256 is 652823702874.

478207328256 is a `hidden beast` number, since 47 + 8 + 20 + 7 + 328 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (478207328239) and next prime (478207328273).

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 23 ways as a sum of consecutive naturals, for example, 27860605 + ... + 27877763.

Almost surely, 2^478207328256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478207328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818682184320).

478207328256 is an abundant number, since it is smaller than the sum of its proper divisors (1159157040384).

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

478207328256 is an frugal number, since it uses more digits than its factorization.

478207328256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17209 (or 17171 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 478207328256 in words is "four hundred seventy-eight billion, two hundred seven million, three hundred twenty-eight thousand, two hundred fifty-six".