385256405 has 16 divisors (see below), whose sum is σ = 472387584. Its totient is φ = 301553280.

The previous prime is 385256383. The next prime is 385256423. The reversal of 385256405 is 504652583.

It is not a de Polignac number, because 385256405 - 2⁶ = 385256341 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42200 + ... + 50510.

It is an arithmetic number, because the mean of its divisors is an integer number (29524224).

Almost surely, 2^385256405 is an apocalyptic number.

It is an amenable number.

385256405 is a deficient number, since it is larger than the sum of its proper divisors (87131179).

385256405 is a wasteful number, since it uses less digits than its factorization.

385256405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8516.

The product of its (nonzero) digits is 144000, while the sum is 38.

The square root of 385256405 is about 19627.9495872595. The cubic root of 385256405 is about 727.6400961484.

The spelling of 385256405 in words is "three hundred eighty-five million, two hundred fifty-six thousand, four hundred five".