385693056 has 256 divisors, whose sum is σ = 1321920000. Its totient is φ = 108435456.

The previous prime is 385693037. The next prime is 385693117. The reversal of 385693056 is 650396583.

385693056 is a `hidden beast` number, since 3 + 8 + 569 + 30 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2588470 + ... + 2588618.

It is an arithmetic number, because the mean of its divisors is an integer number (5163750).

Almost surely, 2^385693056 is an apocalyptic number.

385693056 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 385693056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660960000).

385693056 is an abundant number, since it is smaller than the sum of its proper divisors (936226944).

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

385693056 is a wasteful number, since it uses less digits than its factorization.

385693056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 385693056 is about 19639.0696317315. The cubic root of 385693056 is about 727.9148956588.

The spelling of 385693056 in words is "three hundred eighty-five million, six hundred ninety-three thousand, fifty-six".