413363314 has 48 divisors (see below), whose sum is σ = 810589248. Its totient is φ = 156407328.

The previous prime is 413363299. The next prime is 413363317.

413363314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×413363314² = 341738458722125192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413363317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22249 + ... + 36355.

It is an arithmetic number, because the mean of its divisors is an integer number (16887276).

Almost surely, 2^413363314 is an apocalyptic number.

413363314 is a deficient number, since it is larger than the sum of its proper divisors (397225934).

413363314 is a wasteful number, since it uses less digits than its factorization.

413363314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14159 (or 14152 counting only the distinct ones).

The product of its digits is 7776, while the sum is 28.

The square root of 413363314 is about 20331.3382245242. The cubic root of 413363314 is about 744.9217304377.

The spelling of 413363314 in words is "four hundred thirteen million, three hundred sixty-three thousand, three hundred fourteen".