404405 has 8 divisors (see below), whose sum is σ = 502200. Its totient is φ = 312256.

The previous prime is 404399. The next prime is 404419. The reversal of 404405 is 504404.

It can be written as a sum of positive squares in 4 ways, for example, as 61009 + 343396 = 247^2 + 586^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 404405 - 2⁴ = 404389 is a prime.

It is a nialpdrome in base 14.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1250 + ... + 1539.

It is an arithmetic number, because the mean of its divisors is an integer number (62775).

2⁴⁰⁴⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

404405 is a deficient number, since it is larger than the sum of its proper divisors (97795).

404405 is a wasteful number, since it uses less digits than its factorization.

404405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823.

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 404405 is about 635.9284550954. The cubic root of 404405 is about 73.9501124676.

Adding to 404405 its reverse (504404), we get a palindrome (908809).

Subtracting 404405 from its reverse (504404), we obtain a palindrome (99999).

The spelling of 404405 in words is "four hundred four thousand, four hundred five".