388934560 has 192 divisors, whose sum is σ = 1130976000. Its totient is φ = 125991936.

The previous prime is 388934509. The next prime is 388934627. The reversal of 388934560 is 65439883.

It is a self number, because there is not a number n which added to its sum of digits gives 388934560.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042534 + ... + 1042906.

It is an arithmetic number, because the mean of its divisors is an integer number (5890500).

Almost surely, 2^388934560 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 388934560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565488000).

388934560 is an abundant number, since it is smaller than the sum of its proper divisors (742041440).

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

388934560 is a wasteful number, since it uses less digits than its factorization.

388934560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 388934560 is about 19721.4238836855. The cubic root of 388934560 is about 729.9484294588.

The spelling of 388934560 in words is "three hundred eighty-eight million, nine hundred thirty-four thousand, five hundred sixty".