413303314 has 16 divisors (see below), whose sum is σ = 660451680. Its totient is φ = 193415040.

The previous prime is 413303309. The next prime is 413303321.

It is a happy number.

413303314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62367 + ... + 68674.

It is an arithmetic number, because the mean of its divisors is an integer number (41278230).

Almost surely, 2^413303314 is an apocalyptic number.

413303314 is a deficient number, since it is larger than the sum of its proper divisors (247148366).

413303314 is a wasteful number, since it uses less digits than its factorization.

413303314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131145.

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 413303314 is about 20329.8626163582. The cubic root of 413303314 is about 744.8856867081.

It can be divided in two parts, 41330 and 3314, that added together give a palindrome (44644).

The spelling of 413303314 in words is "four hundred thirteen million, three hundred three thousand, three hundred fourteen".