383824 has 40 divisors (see below), whose sum is σ = 892800. Its totient is φ = 156288.

The previous prime is 383821. The next prime is 383833. The reversal of 383824 is 428383.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 383792 and 383801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2502 + ... + 2650.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2³⁸³⁸²⁴ 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 383824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446400).

383824 is an abundant number, since it is smaller than the sum of its proper divisors (508976).

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

383824 is a wasteful number, since it uses less digits than its factorization.

383824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 383824 is about 619.5353097282. The cubic root of 383824 is about 72.6737173905.

The spelling of 383824 in words is "three hundred eighty-three thousand, eight hundred twenty-four".