413401331 has 16 divisors (see below), whose sum is σ = 490444800. Its totient is φ = 341102880.

The previous prime is 413401283. The next prime is 413401343. The reversal of 413401331 is 133104314.

It is a cyclic number.

It is not a de Polignac number, because 413401331 - 2¹⁴ = 413384947 is a prime.

It is a super-2 number, since 2×413401331² = 341801320945143122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413401361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9770 + ... + 30368.

It is an arithmetic number, because the mean of its divisors is an integer number (30652800).

Almost surely, 2^413401331 is an apocalyptic number.

413401331 is a deficient number, since it is larger than the sum of its proper divisors (77043469).

413401331 is a wasteful number, since it uses less digits than its factorization.

413401331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20714.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 413401331 is about 20332.2731390270. The cubic root of 413401331 is about 744.9445665404.

Adding to 413401331 its reverse (133104314), we get a palindrome (546505645).

The spelling of 413401331 in words is "four hundred thirteen million, four hundred one thousand, three hundred thirty-one".