386304 has 36 divisors (see below), whose sum is σ = 1030176. Its totient is φ = 128512.

The previous prime is 386303. The next prime is 386329. The reversal of 386304 is 403683.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 517 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (28616).

2³⁸⁶³⁰⁴ 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 386304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515088).

386304 is an abundant number, since it is smaller than the sum of its proper divisors (643872).

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

386304 is an equidigital number, since it uses as much as digits as its factorization.

386304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 386304 is about 621.5335871858. The cubic root of 386304 is about 72.8299035867.

Adding to 386304 its reverse (403683), we get a palindrome (789987).

The spelling of 386304 in words is "three hundred eighty-six thousand, three hundred four".