388548 has 36 divisors (see below), whose sum is σ = 1009008. Its totient is φ = 126000.

The previous prime is 388541. The next prime is 388567. The reversal of 388548 is 845883.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 388548.

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

388548 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1423 + ... + 1673.

It is an arithmetic number, because the mean of its divisors is an integer number (28028).

2³⁸⁸⁵⁴⁸ 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 388548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504504).

388548 is an abundant number, since it is smaller than the sum of its proper divisors (620460).

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

388548 is a wasteful number, since it uses less digits than its factorization.

388548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 299 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 388548 is about 623.3361853767. The cubic root of 388548 is about 72.9706518670.

The spelling of 388548 in words is "three hundred eighty-eight thousand, five hundred forty-eight".