364404 has 12 divisors (see below), whose sum is σ = 850304. Its totient is φ = 121464.

The previous prime is 364393. The next prime is 364411. The reversal of 364404 is 404463.

It is a tau number, because it is divible by the number of its divisors (12).

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 364404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15172 + ... + 15195.

2³⁶⁴⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

364404 is an abundant number, since it is smaller than the sum of its proper divisors (485900).

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

364404 is a wasteful number, since it uses less digits than its factorization.

364404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30374 (or 30372 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 364404 is about 603.6588440502. The cubic root of 364404 is about 71.4267755739.

Adding to 364404 its reverse (404463), we get a palindrome (768867).

The spelling of 364404 in words is "three hundred sixty-four thousand, four hundred four".