404304 has 20 divisors (see below), whose sum is σ = 1044576. Its totient is φ = 134752.

The previous prime is 404291. The next prime is 404309. The reversal of 404304 is 403404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404309) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4164 + ... + 4259.

2⁴⁰⁴³⁰⁴ is an apocalyptic number.

It is an amenable number.

404304 is an abundant number, since it is smaller than the sum of its proper divisors (640272).

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

404304 is a wasteful number, since it uses less digits than its factorization.

404304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8434 (or 8428 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 404304 is about 635.8490386876. The cubic root of 404304 is about 73.9439556172.

Adding to 404304 its product of nonzero digits (192), we get a square (404496 = 636²).

Adding to 404304 its reverse (403404), we get a palindrome (807708).

Subtracting from 404304 its reverse (403404), we obtain a square (900 = 30²).

The spelling of 404304 in words is "four hundred four thousand, three hundred four", and thus it is an iban number.