388589600 has 216 divisors, whose sum is σ = 1154176128. Its totient is φ = 127142400.

The previous prime is 388589569. The next prime is 388589609. The reversal of 388589600 is 6985883.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (388589609) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 901385 + ... + 901815.

It is an arithmetic number, because the mean of its divisors is an integer number (5343408).

Almost surely, 2^388589600 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 388589600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577088064).

388589600 is an abundant number, since it is smaller than the sum of its proper divisors (765586528).

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

388589600 is a wasteful number, since it uses less digits than its factorization.

388589600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 388589600 is about 19712.6761247680. The cubic root of 388589600 is about 729.7325598180.

The spelling of 388589600 in words is "three hundred eighty-eight million, five hundred eighty-nine thousand, six hundred".