388548000 has 288 divisors, whose sum is σ = 1416647232. Its totient is φ = 100800000.

The previous prime is 388547959. The next prime is 388548001. The reversal of 388548000 is 845883.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (388548001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1547875 + ... + 1548125.

It is an arithmetic number, because the mean of its divisors is an integer number (4918914).

Almost surely, 2^388548000 is an apocalyptic number.

388548000 is a gapful number since it is divisible by the number (30) 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 388548000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708323616).

388548000 is an abundant number, since it is smaller than the sum of its proper divisors (1028099232).

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

388548000 is a wasteful number, since it uses less digits than its factorization.

388548000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 304 counting only the distinct ones).

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

The square root of 388548000 is about 19711.6209379138. The cubic root of 388548000 is about 729.7065186700.

The spelling of 388548000 in words is "three hundred eighty-eight million, five hundred forty-eight thousand".