413413405 has 8 divisors (see below), whose sum is σ = 496438200. Its totient is φ = 330502656.

The previous prime is 413413397. The next prime is 413413411. The reversal of 413413405 is 504314314.

It can be written as a sum of positive squares in 4 ways, for example, as 13853284 + 399560121 = 3722^2 + 19989^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413413405 - 2³ = 413413397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413413405.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20320 + ... + 35209.

It is an arithmetic number, because the mean of its divisors is an integer number (62054775).

Almost surely, 2^413413405 is an apocalyptic number.

It is an amenable number.

413413405 is a deficient number, since it is larger than the sum of its proper divisors (83024795).

413413405 is a wasteful number, since it uses less digits than its factorization.

413413405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57023.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 413413405 is about 20332.5700539799. The cubic root of 413413405 is about 744.9518188741.

Adding to 413413405 its reverse (504314314), we get a palindrome (917727719).

Subtracting 413413405 from its reverse (504314314), we obtain a palindrome (90900909).

The spelling of 413413405 in words is "four hundred thirteen million, four hundred thirteen thousand, four hundred five".