388448760 has 128 divisors (see below), whose sum is σ = 1364428800. Its totient is φ = 86615040.

The previous prime is 388448747. The next prime is 388448773. The reversal of 388448760 is 67844883.

388448760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (388448747) and next prime (388448773).

It is a congruent number.

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, 28801 + ... + 40079.

It is an arithmetic number, because the mean of its divisors is an integer number (10659600).

Almost surely, 2^388448760 is an apocalyptic number.

388448760 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 388448760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682214400).

388448760 is an abundant number, since it is smaller than the sum of its proper divisors (975980040).

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

388448760 is a wasteful number, since it uses less digits than its factorization.

388448760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11341 (or 11337 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 388448760 is about 19709.1034803717. The cubic root of 388448760 is about 729.6443880014.

The spelling of 388448760 in words is "three hundred eighty-eight million, four hundred forty-eight thousand, seven hundred sixty".