385952 has 24 divisors (see below), whose sum is σ = 868896. Its totient is φ = 165312.

The previous prime is 385943. The next prime is 385967. The reversal of 385952 is 259583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 638 + ... + 1085.

It is an arithmetic number, because the mean of its divisors is an integer number (36204).

2³⁸⁵⁹⁵² is an apocalyptic number.

385952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

385952 is an abundant number, since it is smaller than the sum of its proper divisors (482944).

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

385952 is a wasteful number, since it uses less digits than its factorization.

385952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1732 counting only the distinct ones).

The product of its digits is 10800, while the sum is 32.

The square root of 385952 is about 621.2503521126. The cubic root of 385952 is about 72.8077760079.

The spelling of 385952 in words is "three hundred eighty-five thousand, nine hundred fifty-two".