409906413 has 60 divisors (see below), whose sum is σ = 718391520. Its totient is φ = 232234128.

The previous prime is 409906403. The next prime is 409906421. The reversal of 409906413 is 314609904.

409906413 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 0 + 641 + 3 = 666.

It is not a de Polignac number, because 409906413 - 2⁸ = 409906157 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409906403) 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 59 ways as a sum of consecutive naturals, for example, 551320 + ... + 552062.

It is an arithmetic number, because the mean of its divisors is an integer number (11973192).

Almost surely, 2^409906413 is an apocalyptic number.

It is an amenable number.

409906413 is a deficient number, since it is larger than the sum of its proper divisors (308485107).

409906413 is a wasteful number, since it uses less digits than its factorization.

409906413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 409906413 is about 20246.1456331816. The cubic root of 409906413 is about 742.8393551302.

The spelling of 409906413 in words is "four hundred nine million, nine hundred six thousand, four hundred thirteen".