409444 has 18 divisors (see below), whose sum is σ = 833910. Its totient is φ = 175392.

The previous prime is 409441. The next prime is 409463. The reversal of 409444 is 444904.

409444 = T₁₀₄ + T₁₀₅ + ... + T₁₅₂.

It can be written as a sum of positive squares in only one way, i.e., 396900 + 12544 = 630^2 + 112^2 .

It is an Ulam number.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (409441) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 849 + ... + 1240.

2⁴⁰⁹⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

409444 is an abundant number, since it is smaller than the sum of its proper divisors (424466).

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

409444 is a wasteful number, since it uses less digits than its factorization.

409444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 409444 is about 639.8781133935. The cubic root of 409444 is about 74.2559919133.

The spelling of 409444 in words is "four hundred nine thousand, four hundred forty-four".