388448 has 24 divisors (see below), whose sum is σ = 781200. Its totient is φ = 190080.

The previous prime is 388403. The next prime is 388459. The reversal of 388448 is 844883.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1853 + ... + 2051.

It is an arithmetic number, because the mean of its divisors is an integer number (32550).

2³⁸⁸⁴⁴⁸ 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 388448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390600).

388448 is an abundant number, since it is smaller than the sum of its proper divisors (392752).

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

388448 is a wasteful number, since it uses less digits than its factorization.

388448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its digits is 24576, while the sum is 35.

The square root of 388448 is about 623.2559666782. The cubic root of 388448 is about 72.9643912151.

The spelling of 388448 in words is "three hundred eighty-eight thousand, four hundred forty-eight".