388808960 has 72 divisors (see below), whose sum is σ = 942059160. Its totient is φ = 153731072.

The previous prime is 388808947. The next prime is 388808963. The reversal of 388808960 is 69808883.

It can be written as a sum of positive squares in 4 ways, for example, as 67108864 + 321700096 = 8192^2 + 17936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 388808899 and 388808908.

It is not an unprimeable number, because it can be changed into a prime (388808963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112214 + ... + 115626.

It is an arithmetic number, because the mean of its divisors is an integer number (13084155).

Almost surely, 2^388808960 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 388808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471029580).

388808960 is an abundant number, since it is smaller than the sum of its proper divisors (553250200).

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

388808960 is an equidigital number, since it uses as much as digits as its factorization.

388808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

The square root of 388808960 is about 19718.2392723083. The cubic root of 388808960 is about 729.8698460646.

The spelling of 388808960 in words is "three hundred eighty-eight million, eight hundred eight thousand, nine hundred sixty".