306404 has 24 divisors (see below), whose sum is σ = 634368. Its totient is φ = 126720.

The previous prime is 306389. The next prime is 306407. The reversal of 306404 is 404603.

It is a super-2 number, since 2×306404² = 187766822432, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306404.

It is not an unprimeable number, because it can be changed into a prime (306407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 692 + ... + 1044.

It is an arithmetic number, because the mean of its divisors is an integer number (26432).

2³⁰⁶⁴⁰⁴ 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 306404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317184).

306404 is an abundant number, since it is smaller than the sum of its proper divisors (327964).

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

306404 is a wasteful number, since it uses less digits than its factorization.

306404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 306404 is about 553.5377132590. The cubic root of 306404 is about 67.4162839609.

The spelling of 306404 in words is "three hundred six thousand, four hundred four".