413413413 has 16 divisors (see below), whose sum is σ = 640642560. Its totient is φ = 232231536.

The previous prime is 413413411. The next prime is 413413417. The reversal of 413413413 is 314314314.

It is not a de Polignac number, because 413413413 - 2¹ = 413413411 is a prime.

413413413 is a modest number, since divided by 413413 gives 413 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413413411) 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, 165595 + ... + 168072.

It is an arithmetic number, because the mean of its divisors is an integer number (40040160).

Almost surely, 2^413413413 is an apocalyptic number.

It is an amenable number.

413413413 is a deficient number, since it is larger than the sum of its proper divisors (227229147).

413413413 is a wasteful number, since it uses less digits than its factorization.

413413413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333736.

The product of its digits is 1728, while the sum is 24.

The square root of 413413413 is about 20332.5702507086. The cubic root of 413413413 is about 744.9518236793.

Adding to 413413413 its reverse (314314314), we get a palindrome (727727727).

Subtracting from 413413413 its reverse (314314314), we obtain a palindrome (99099099).

The spelling of 413413413 in words is "four hundred thirteen million, four hundred thirteen thousand, four hundred thirteen".