413305231 has 8 divisors (see below), whose sum is σ = 422096400. Its totient is φ = 404606400.

The previous prime is 413305229. The next prime is 413305247. The reversal of 413305231 is 132503314.

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 413305231 - 2¹ = 413305229 is a prime.

It is a super-3 number, since 3×413305231³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413305201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14001 + ... + 31978.

It is an arithmetic number, because the mean of its divisors is an integer number (52762050).

Almost surely, 2^413305231 is an apocalyptic number.

413305231 is a deficient number, since it is larger than the sum of its proper divisors (8791169).

413305231 is a wasteful number, since it uses less digits than its factorization.

413305231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46169.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 413305231 is about 20329.9097636955. The cubic root of 413305231 is about 744.8868383593.

Adding to 413305231 its reverse (132503314), we get a palindrome (545808545).

The spelling of 413305231 in words is "four hundred thirteen million, three hundred five thousand, two hundred thirty-one".