395824 has 40 divisors (see below), whose sum is σ = 906192. Its totient is φ = 165120.

The previous prime is 395803. The next prime is 395849. The reversal of 395824 is 428593.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2202 + ... + 2374.

2³⁹⁵⁸²⁴ 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 395824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453096).

395824 is an abundant number, since it is smaller than the sum of its proper divisors (510368).

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

395824 is a wasteful number, since it uses less digits than its factorization.

395824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 395824 is about 629.1454521810. The cubic root of 395824 is about 73.4233238670.

The spelling of 395824 in words is "three hundred ninety-five thousand, eight hundred twenty-four".