385753407 has 16 divisors (see below), whose sum is σ = 555689568. Its totient is φ = 236620800.

The previous prime is 385753391. The next prime is 385753427. The reversal of 385753407 is 704357583.

It is not a de Polignac number, because 385753407 - 2⁴ = 385753391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385753427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3594 + ... + 28007.

It is an arithmetic number, because the mean of its divisors is an integer number (34730598).

Almost surely, 2^385753407 is an apocalyptic number.

385753407 is a deficient number, since it is larger than the sum of its proper divisors (169936161).

385753407 is a wasteful number, since it uses less digits than its factorization.

385753407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31930.

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 385753407 is about 19640.6060751699. The cubic root of 385753407 is about 727.9528603045.

The spelling of 385753407 in words is "three hundred eighty-five million, seven hundred fifty-three thousand, four hundred seven".