404804 has 12 divisors (see below), whose sum is σ = 750204. Its totient is φ = 190464.

The previous prime is 404783. The next prime is 404819. The reversal of 404804 is 408404.

404804 = T₁₃₇ + T₁₃₈ + ... + T₁₇₀.

404804 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 123904 + 280900 = 352^2 + 530^2 .

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

404804 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2909 + ... + 3044.

It is an arithmetic number, because the mean of its divisors is an integer number (62517).

2⁴⁰⁴⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

404804 is a deficient number, since it is larger than the sum of its proper divisors (345400).

404804 is a wasteful number, since it uses less digits than its factorization.

404804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5974 (or 5972 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 404804 is about 636.2420922888. The cubic root of 404804 is about 73.9744250555.

Subtracting 404804 from its reverse (408404), we obtain a square (3600 = 60²).

The spelling of 404804 in words is "four hundred four thousand, eight hundred four".