385274817 has 24 divisors (see below), whose sum is σ = 583522368. Its totient is φ = 244490400.

The previous prime is 385274803. The next prime is 385274819. The reversal of 385274817 is 718472583.

It is not a de Polignac number, because 385274817 - 2⁶ = 385274753 is a prime.

It is a super-2 number, since 2×385274817² = 296873369228766978, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (385274819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39267 + ... + 48087.

It is an arithmetic number, because the mean of its divisors is an integer number (24313432).

Almost surely, 2^385274817 is an apocalyptic number.

It is an amenable number.

385274817 is a deficient number, since it is larger than the sum of its proper divisors (198247551).

385274817 is a wasteful number, since it uses less digits than its factorization.

385274817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9061 (or 9058 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 385274817 is about 19628.4186067039. The cubic root of 385274817 is about 727.6516876460.

The spelling of 385274817 in words is "three hundred eighty-five million, two hundred seventy-four thousand, eight hundred seventeen".