385824 has 24 divisors (see below), whose sum is σ = 1013040. Its totient is φ = 128576.

The previous prime is 385817. The next prime is 385831. The reversal of 385824 is 428583.

385824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (385817) and next prime (385831).

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 385791 and 385800.

It is an unprimeable number.

385824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1914 + ... + 2105.

It is an arithmetic number, because the mean of its divisors is an integer number (42210).

2³⁸⁵⁸²⁴ is an apocalyptic number.

It is an amenable number.

385824 is an abundant number, since it is smaller than the sum of its proper divisors (627216).

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

385824 is a wasteful number, since it uses less digits than its factorization.

385824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4024 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 385824 is about 621.1473255195. The cubic root of 385824 is about 72.7997262800.

The spelling of 385824 in words is "three hundred eighty-five thousand, eight hundred twenty-four".