413310431 has 4 divisors (see below), whose sum is σ = 413359872. Its totient is φ = 413260992.

The previous prime is 413310413. The next prime is 413310479. The reversal of 413310431 is 134013314.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 413310431 - 2¹⁴ = 413294047 is a prime.

It is a super-2 number, since 2×413310431² = 341651024746811522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413310031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8735 + ... + 30048.

It is an arithmetic number, because the mean of its divisors is an integer number (103339968).

Almost surely, 2^413310431 is an apocalyptic number.

413310431 is a deficient number, since it is larger than the sum of its proper divisors (49441).

413310431 is a wasteful number, since it uses less digits than its factorization.

413310431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49440.

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

The square root of 413310431 is about 20330.0376536789. The cubic root of 413310431 is about 744.8899622775.

Adding to 413310431 its reverse (134013314), we get a palindrome (547323745).

The spelling of 413310431 in words is "four hundred thirteen million, three hundred ten thousand, four hundred thirty-one".