413903082609 has 9 divisors (see below), whose sum is σ = 597862796089. Its totient is φ = 275934101700.

The previous prime is 413903082559. The next prime is 413903082629. The reversal of 413903082609 is 906280309314.

It is a happy number.

The square root of 413903082609 is 643353.

It is a perfect power (a square), and thus also a powerful number.

413903082609 is a `hidden beast` number, since 4 + 1 + 3 + 9 + 0 + 30 + 8 + 2 + 609 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 413903082609 - 2²³ = 413894694001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413903082629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1822834 + ... + 2037284.

Almost surely, 2^413903082609 is an apocalyptic number.

413903082609 is the 643353-rd square number.

413903082609 is the 321677-th centered octagonal number.

It is an amenable number.

413903082609 is a deficient number, since it is larger than the sum of its proper divisors (183959713480).

413903082609 is an frugal number, since it uses more digits than its factorization.

413903082609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428908 (or 214454 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 413903082609 in words is "four hundred thirteen billion, nine hundred three million, eighty-two thousand, six hundred nine".