388488960 has 216 divisors, whose sum is σ = 1395030000. Its totient is φ = 103514112.

The previous prime is 388488949. The next prime is 388488979. The reversal of 388488960 is 69884883.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 388488897 and 388488906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310416 + ... + 311664.

Almost surely, 2^388488960 is an apocalyptic number.

388488960 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 388488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697515000).

388488960 is an abundant number, since it is smaller than the sum of its proper divisors (1006541040).

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

388488960 is an equidigital number, since it uses as much as digits as its factorization.

388488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 388488960 is about 19710.1232872856. The cubic root of 388488960 is about 729.6695570804.

The spelling of 388488960 in words is "three hundred eighty-eight million, four hundred eighty-eight thousand, nine hundred sixty".