382448 has 40 divisors (see below), whose sum is σ = 843696. Its totient is φ = 166400.

The previous prime is 382429. The next prime is 382457. The reversal of 382448 is 844283.

It is a self number, because there is not a number n which added to its sum of digits gives 382448.

It is a congruent number.

It is an unprimeable number.

382448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7190 + ... + 7242.

2³⁸²⁴⁴⁸ 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 382448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421848).

382448 is an abundant number, since it is smaller than the sum of its proper divisors (461248).

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

382448 is a wasteful number, since it uses less digits than its factorization.

382448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 382448 is about 618.4238029054. The cubic root of 382448 is about 72.5867688830.

The spelling of 382448 in words is "three hundred eighty-two thousand, four hundred forty-eight".