404249 has 2 divisors, whose sum is σ = 404250. Its totient is φ = 404248.

The previous prime is 404221. The next prime is 404251. The reversal of 404249 is 942404.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 403225 + 1024 = 635^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 404249 - 2⁸ = 403993 is a prime.

Together with 404251, it forms a pair of twin primes.

It is a Chen prime.

It is a magnanimous number.

It is a plaindrome in base 11.

It is not a weakly prime, because it can be changed into another prime (404269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202124 + 202125.

It is an arithmetic number, because the mean of its divisors is an integer number (202125).

2⁴⁰⁴²⁴⁹ is an apocalyptic number.

It is an amenable number.

404249 is a deficient number, since it is larger than the sum of its proper divisors (1).

404249 is an equidigital number, since it uses as much as digits as its factorization.

404249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 404249 is about 635.8057879573. The cubic root of 404249 is about 73.9406024457.

The spelling of 404249 in words is "four hundred four thousand, two hundred forty-nine".