413314323 has 16 divisors (see below), whose sum is σ = 564681216. Its totient is φ = 268763040.

The previous prime is 413314271. The next prime is 413314327. The reversal of 413314323 is 323413314.

It is not a de Polignac number, because 413314323 - 2¹⁴ = 413297939 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413314293 and 413314302.

It is not an unprimeable number, because it can be changed into a prime (413314327) 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 15 ways as a sum of consecutive naturals, for example, 115761 + ... + 119277.

It is an arithmetic number, because the mean of its divisors is an integer number (35292576).

Almost surely, 2^413314323 is an apocalyptic number.

413314323 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

413314323 is a deficient number, since it is larger than the sum of its proper divisors (151366893).

413314323 is a wasteful number, since it uses less digits than its factorization.

413314323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474.

The product of its digits is 2592, while the sum is 24.

The square root of 413314323 is about 20330.1333738862. The cubic root of 413314323 is about 744.8923003931.

Adding to 413314323 its reverse (323413314), we get a palindrome (736727637).

It can be divided in two parts, 41331 and 4323, that added together give a palindrome (45654).

The spelling of 413314323 in words is "four hundred thirteen million, three hundred fourteen thousand, three hundred twenty-three".