385142307 has 32 divisors (see below), whose sum is σ = 569306880. Its totient is φ = 229662720.

The previous prime is 385142273. The next prime is 385142311. The reversal of 385142307 is 703241583.

It is not a de Polignac number, because 385142307 - 2¹⁶ = 385076771 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (385143307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667203 + ... + 667779.

It is an arithmetic number, because the mean of its divisors is an integer number (17790840).

Almost surely, 2^385142307 is an apocalyptic number.

385142307 is a deficient number, since it is larger than the sum of its proper divisors (184164573).

385142307 is a wasteful number, since it uses less digits than its factorization.

385142307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 385142307 is about 19625.0428534564. The cubic root of 385142307 is about 727.5682561340.

The spelling of 385142307 in words is "three hundred eighty-five million, one hundred forty-two thousand, three hundred seven".