385406109 has 24 divisors (see below), whose sum is σ = 622125504. Its totient is φ = 227880000.

The previous prime is 385406093. The next prime is 385406117. The reversal of 385406109 is 901604583.

385406109 is a `hidden beast` number, since 3 + 8 + 540 + 6 + 109 = 666.

It is not a de Polignac number, because 385406109 - 2⁴ = 385406093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385406149) 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, 43417 + ... + 51534.

It is an arithmetic number, because the mean of its divisors is an integer number (25921896).

Almost surely, 2^385406109 is an apocalyptic number.

It is an amenable number.

385406109 is a deficient number, since it is larger than the sum of its proper divisors (236719395).

385406109 is a wasteful number, since it uses less digits than its factorization.

385406109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95009 (or 95006 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 385406109 is about 19631.7627583465. The cubic root of 385406109 is about 727.7343334106.

The spelling of 385406109 in words is "three hundred eighty-five million, four hundred six thousand, one hundred nine".