385945056 has 72 divisors (see below), whose sum is σ = 1254327984. Its totient is φ = 110269440.

The previous prime is 385945003. The next prime is 385945069. The reversal of 385945056 is 650549583.

385945056 is a `hidden beast` number, since 3 + 8 + 594 + 5 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93705 + ... + 97736.

It is an arithmetic number, because the mean of its divisors is an integer number (17421222).

Almost surely, 2^385945056 is an apocalyptic number.

385945056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385945056 is an abundant number, since it is smaller than the sum of its proper divisors (868382928).

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

385945056 is a wasteful number, since it uses less digits than its factorization.

385945056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191464 (or 191453 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 385945056 is about 19645.4843666426. The cubic root of 385945056 is about 728.0733935586.

The spelling of 385945056 in words is "three hundred eighty-five million, nine hundred forty-five thousand, fifty-six".