389476364256 has 288 divisors, whose sum is σ = 1389899347200. Its totient is φ = 104732891136.

The previous prime is 389476364237. The next prime is 389476364267. The reversal of 389476364256 is 652463674983.

389476364256 is a `hidden beast` number, since 3 + 89 + 476 + 3 + 64 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 389476364193 and 389476364202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714895 + ... + 1135793.

It is an arithmetic number, because the mean of its divisors is an integer number (4826039400).

Almost surely, 2^389476364256 is an apocalyptic number.

389476364256 is a gapful number since it is divisible by the number (36) 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 389476364256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694949673600).

389476364256 is an abundant number, since it is smaller than the sum of its proper divisors (1000422982944).

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

389476364256 is a wasteful number, since it uses less digits than its factorization.

389476364256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420948 (or 420928 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 389476364256 in words is "three hundred eighty-nine billion, four hundred seventy-six million, three hundred sixty-four thousand, two hundred fifty-six".