385872 has 20 divisors (see below), whose sum is σ = 996960. Its totient is φ = 128608.

The previous prime is 385859. The next prime is 385877. The reversal of 385872 is 278583.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385877) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3972 + ... + 4067.

It is an arithmetic number, because the mean of its divisors is an integer number (49848).

2³⁸⁵⁸⁷² is an apocalyptic number.

It is an amenable number.

385872 is an abundant number, since it is smaller than the sum of its proper divisors (611088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

385872 is a wasteful number, since it uses less digits than its factorization.

385872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8050 (or 8044 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 385872 is about 621.1859624943. The cubic root of 385872 is about 72.8027451366.

The spelling of 385872 in words is "three hundred eighty-five thousand, eight hundred seventy-two".