413349567 has 32 divisors (see below), whose sum is σ = 581959680. Its totient is φ = 260638560.

The previous prime is 413349511. The next prime is 413349569. The reversal of 413349567 is 765943314.

It is not a de Polignac number, because 413349567 - 2⁷ = 413349439 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413349569) 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 31 ways as a sum of consecutive naturals, for example, 932848 + ... + 933290.

It is an arithmetic number, because the mean of its divisors is an integer number (18186240).

Almost surely, 2^413349567 is an apocalyptic number.

413349567 is a deficient number, since it is larger than the sum of its proper divisors (168610113).

413349567 is a wasteful number, since it uses less digits than its factorization.

413349567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683.

The product of its digits is 272160, while the sum is 42.

The square root of 413349567 is about 20331.0001475579. Note that the first 3 decimals coincide. The cubic root of 413349567 is about 744.9134725266.

The spelling of 413349567 in words is "four hundred thirteen million, three hundred forty-nine thousand, five hundred sixty-seven".