385738405 has 16 divisors (see below), whose sum is σ = 520168320. Its totient is φ = 272467008.

The previous prime is 385738393. The next prime is 385738417. The reversal of 385738405 is 504837583.

It is an interprime number because it is at equal distance from previous prime (385738393) and next prime (385738417).

It is a cyclic number.

It is not a de Polignac number, because 385738405 - 2⁹ = 385737893 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127515 + ... + 130504.

It is an arithmetic number, because the mean of its divisors is an integer number (32510520).

Almost surely, 2^385738405 is an apocalyptic number.

It is an amenable number.

385738405 is a deficient number, since it is larger than the sum of its proper divisors (134429915).

385738405 is a wasteful number, since it uses less digits than its factorization.

385738405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258060.

The product of its (nonzero) digits is 403200, while the sum is 43.

The square root of 385738405 is about 19640.2241585986. The cubic root of 385738405 is about 727.9434234552.

The spelling of 385738405 in words is "three hundred eighty-five million, seven hundred thirty-eight thousand, four hundred five".