404456 has 16 divisors (see below), whose sum is σ = 816900. Its totient is φ = 186624.

The previous prime is 404449. The next prime is 404461. The reversal of 404456 is 654404.

It is a happy number.

404456 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 401956 + 2500 = 634^2 + 50^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 404456.

It is an unprimeable number.

404456 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, 1841 + ... + 2048.

2⁴⁰⁴⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

404456 is an abundant number, since it is smaller than the sum of its proper divisors (412444).

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

404456 is a wasteful number, since it uses less digits than its factorization.

404456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 404456 is about 635.9685526817. The cubic root of 404456 is about 73.9532209828.

The spelling of 404456 in words is "four hundred four thousand, four hundred fifty-six".