388224 has 48 divisors (see below), whose sum is σ = 1120470. Its totient is φ = 129024.

The previous prime is 388211. The next prime is 388231. The reversal of 388224 is 422883.

388224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 28224 = 600^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 984 + ... + 1320.

2³⁸⁸²²⁴ 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 388224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560235).

388224 is an abundant number, since it is smaller than the sum of its proper divisors (732246).

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

388224 is a wasteful number, since it uses less digits than its factorization.

388224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 388224 is about 623.0762393159. The cubic root of 388224 is about 72.9503634549.

The spelling of 388224 in words is "three hundred eighty-eight thousand, two hundred twenty-four".