388544 has 28 divisors (see below), whose sum is σ = 832104. Its totient is φ = 178944.

The previous prime is 388541. The next prime is 388567. The reversal of 388544 is 445883.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 388544.

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 388544.

It is not an unprimeable number, because it can be changed into a prime (388541) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 599 + ... + 1065.

It is an arithmetic number, because the mean of its divisors is an integer number (29718).

2³⁸⁸⁵⁴⁴ 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 388544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416052).

388544 is an abundant number, since it is smaller than the sum of its proper divisors (443560).

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

388544 is a wasteful number, since it uses less digits than its factorization.

388544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 482 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 388544 is about 623.3329768270. The cubic root of 388544 is about 72.9704014616.

The spelling of 388544 in words is "three hundred eighty-eight thousand, five hundred forty-four".