478957159296 has 768 divisors, whose sum is σ = 1803474892800. Its totient is φ = 123739176960.

The previous prime is 478957159273. The next prime is 478957159309. The reversal of 478957159296 is 692951759874.

478957159296 is a `hidden beast` number, since 47 + 8 + 9 + 571 + 5 + 9 + 2 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 415400256 + ... + 415401408.

It is an arithmetic number, because the mean of its divisors is an integer number (2348274600).

Almost surely, 2^478957159296 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 478957159296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901737446400).

478957159296 is an abundant number, since it is smaller than the sum of its proper divisors (1324517733504).

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

478957159296 is a wasteful number, since it uses less digits than its factorization.

478957159296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1399 counting only the distinct ones).

The product of its digits is 342921600, while the sum is 72.

The spelling of 478957159296 in words is "four hundred seventy-eight billion, nine hundred fifty-seven million, one hundred fifty-nine thousand, two hundred ninety-six".