394304 has 28 divisors (see below), whose sum is σ = 803148. Its totient is φ = 192000.

The previous prime is 394291. The next prime is 394319. The reversal of 394304 is 403493.

It can be written as a sum of positive squares in 2 ways, for example, as 193600 + 200704 = 440^2 + 448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 394304.

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, 3854 + ... + 3954.

2³⁹⁴³⁰⁴ 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 394304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401574).

394304 is an abundant number, since it is smaller than the sum of its proper divisors (408844).

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

394304 is a wasteful number, since it uses less digits than its factorization.

394304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 394304 is about 627.9363025021. The cubic root of 394304 is about 73.3292192366.

Adding to 394304 its reverse (403493), we get a palindrome (797797).

The spelling of 394304 in words is "three hundred ninety-four thousand, three hundred four".