386448 has 40 divisors (see below), whose sum is σ = 1020768. Its totient is φ = 125952.

The previous prime is 386437. The next prime is 386471. The reversal of 386448 is 844683.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3936 + ... + 4032.

2³⁸⁶⁴⁴⁸ 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 386448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510384).

386448 is an abundant number, since it is smaller than the sum of its proper divisors (634320).

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

386448 is a wasteful number, since it uses less digits than its factorization.

386448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 386448 is about 621.6494188850. The cubic root of 386448 is about 72.8389519038.

The spelling of 386448 in words is "three hundred eighty-six thousand, four hundred forty-eight".