393824 has 24 divisors (see below), whose sum is σ = 802368. Its totient is φ = 190080.

The previous prime is 393797. The next prime is 393847. The reversal of 393824 is 428393.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 794 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (33432).

2³⁹³⁸²⁴ 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 393824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401184).

393824 is an abundant number, since it is smaller than the sum of its proper divisors (408544).

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

393824 is a wasteful number, since it uses less digits than its factorization.

393824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 393824 is about 627.5539817418. The cubic root of 393824 is about 73.2994517497.

The spelling of 393824 in words is "three hundred ninety-three thousand, eight hundred twenty-four".