388824 has 32 divisors (see below), whose sum is σ = 1030320. Its totient is φ = 121856.

The previous prime is 388823. The next prime is 388837. The reversal of 388824 is 428883.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 388824.

It is not an unprimeable number, because it can be changed into a prime (388823) 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, 69 + ... + 884.

2³⁸⁸⁸²⁴ is an apocalyptic number.

388824 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515160).

388824 is an abundant number, since it is smaller than the sum of its proper divisors (641496).

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

388824 is a wasteful number, since it uses less digits than its factorization.

388824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 975 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 388824 is about 623.5575354368. The cubic root of 388824 is about 72.9879256943.

The spelling of 388824 in words is "three hundred eighty-eight thousand, eight hundred twenty-four".