479078240256 has 1872 divisors, whose sum is σ = 1957787919360. Its totient is φ = 115378421760.

The previous prime is 479078240233. The next prime is 479078240297. The reversal of 479078240256 is 652042870974.

479078240256 is a `hidden beast` number, since 479 + 0 + 7 + 82 + 40 + 2 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10193154025 + ... + 10193154071.

It is an arithmetic number, because the mean of its divisors is an integer number (1045826880).

Almost surely, 2^479078240256 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 479078240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978893959680).

479078240256 is an abundant number, since it is smaller than the sum of its proper divisors (1478709679104).

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

479078240256 is a wasteful number, since it uses less digits than its factorization.

479078240256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 479078240256 in words is "four hundred seventy-nine billion, seventy-eight million, two hundred forty thousand, two hundred fifty-six".