385205367 has 8 divisors (see below), whose sum is σ = 514963840. Its totient is φ = 256125240.

The previous prime is 385205299. The next prime is 385205389. The reversal of 385205367 is 763502583.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 385205367 - 2⁷ = 385205239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385200367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168259 + ... + 170532.

It is an arithmetic number, because the mean of its divisors is an integer number (64370480).

Almost surely, 2^385205367 is an apocalyptic number.

385205367 is a deficient number, since it is larger than the sum of its proper divisors (129758473).

385205367 is a wasteful number, since it uses less digits than its factorization.

385205367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339173.

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 385205367 is about 19626.6494083937. The cubic root of 385205367 is about 727.6079626266.

The spelling of 385205367 in words is "three hundred eighty-five million, two hundred five thousand, three hundred sixty-seven".