409090959 has 16 divisors (see below), whose sum is σ = 606434400. Its totient is φ = 272559168.

The previous prime is 409090943. The next prime is 409090963. The reversal of 409090959 is 959090904.

It is a happy number.

It is not a de Polignac number, because 409090959 - 2⁴ = 409090943 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409090999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52777 + ... + 60029.

It is an arithmetic number, because the mean of its divisors is an integer number (37902150).

Almost surely, 2^409090959 is an apocalyptic number.

409090959 is a deficient number, since it is larger than the sum of its proper divisors (197343441).

409090959 is a wasteful number, since it uses less digits than its factorization.

409090959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9351 (or 9345 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 409090959 is about 20225.9971076830. The cubic root of 409090959 is about 742.3464349287.

Subtracting 409090959 from its reverse (959090904), we obtain a palindrome (549999945).

The spelling of 409090959 in words is "four hundred nine million, ninety thousand, nine hundred fifty-nine".