385984 has 28 divisors (see below), whose sum is σ = 791464. Its totient is φ = 186624.

The previous prime is 385967. The next prime is 385991. The reversal of 385984 is 489583.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

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, 2287 + ... + 2449.

2³⁸⁵⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395732).

385984 is an abundant number, since it is smaller than the sum of its proper divisors (405480).

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

385984 is a wasteful number, since it uses less digits than its factorization.

385984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 385984 is about 621.2761060913. The cubic root of 385984 is about 72.8097881618.

It can be divided in two parts, 385 and 984, that added together give a square (1369 = 37²).

The spelling of 385984 in words is "three hundred eighty-five thousand, nine hundred eighty-four".