393404 has 12 divisors (see below), whose sum is σ = 751128. Its totient is φ = 178800.

The previous prime is 393403. The next prime is 393413. The reversal of 393404 is 404393.

It is a self number, because there is not a number n which added to its sum of digits gives 393404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393401) 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, 4427 + ... + 4514.

It is an arithmetic number, because the mean of its divisors is an integer number (62594).

2³⁹³⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

393404 is a deficient number, since it is larger than the sum of its proper divisors (357724).

393404 is a wasteful number, since it uses less digits than its factorization.

393404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8956 (or 8954 counting only the distinct ones).

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

The square root of 393404 is about 627.2192599084. The cubic root of 393404 is about 73.2733853510.

Adding to 393404 its reverse (404393), we get a palindrome (797797).

It can be divided in two parts, 393 and 404, that added together give a palindrome (797).

The spelling of 393404 in words is "three hundred ninety-three thousand, four hundred four".