385308693 has 96 divisors (see below), whose sum is σ = 724598784. Its totient is φ = 191520000.

The previous prime is 385308661. The next prime is 385308709. The reversal of 385308693 is 396803583.

385308693 is a `hidden beast` number, since 38 + 530 + 86 + 9 + 3 = 666.

It is not a de Polignac number, because 385308693 - 2⁵ = 385308661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385308653) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2017228 + ... + 2017418.

It is an arithmetic number, because the mean of its divisors is an integer number (7547904).

Almost surely, 2^385308693 is an apocalyptic number.

385308693 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

385308693 is a deficient number, since it is larger than the sum of its proper divisors (339290091).

385308693 is a wasteful number, since it uses less digits than its factorization.

385308693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 385308693 is about 19629.2815202187. The cubic root of 385308693 is about 727.6730137272.

The spelling of 385308693 in words is "three hundred eighty-five million, three hundred eight thousand, six hundred ninety-three".