388830960 has 240 divisors, whose sum is σ = 1504189440. Its totient is φ = 88174080.

The previous prime is 388830941. The next prime is 388830973. The reversal of 388830960 is 69038883.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901945 + ... + 902375.

It is an arithmetic number, because the mean of its divisors is an integer number (6267456).

Almost surely, 2^388830960 is an apocalyptic number.

388830960 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 388830960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752094720).

388830960 is an abundant number, since it is smaller than the sum of its proper divisors (1115358480).

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

388830960 is a wasteful number, since it uses less digits than its factorization.

388830960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 388830960 is about 19718.7971235570. The cubic root of 388830960 is about 729.8836118943.

The spelling of 388830960 in words is "three hundred eighty-eight million, eight hundred thirty thousand, nine hundred sixty".