409924405 has 12 divisors (see below), whose sum is σ = 540694476. Its totient is φ = 298126400.

The previous prime is 409924399. The next prime is 409924409. The reversal of 409924405 is 504429904.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 205119684 + 204804721 = 14322^2 + 14311^2 .

It is not a de Polignac number, because 409924405 - 2¹⁷ = 409793333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409924409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338176 + ... + 339385.

It is an arithmetic number, because the mean of its divisors is an integer number (45057873).

Almost surely, 2^409924405 is an apocalyptic number.

It is an amenable number.

409924405 is a deficient number, since it is larger than the sum of its proper divisors (130770071).

409924405 is a wasteful number, since it uses less digits than its factorization.

409924405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677588 (or 677577 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 409924405 is about 20246.5899597932. The cubic root of 409924405 is about 742.8502234404.

The spelling of 409924405 in words is "four hundred nine million, nine hundred twenty-four thousand, four hundred five".