413141314 has 8 divisors (see below), whose sum is σ = 621488700. Its totient is φ = 205978416.

The previous prime is 413141303. The next prime is 413141317.

It is a happy number.

413141314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 397404225 + 15737089 = 19935^2 + 3967^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not an unprimeable number, because it can be changed into a prime (413141317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 295249 + ... + 296644.

Almost surely, 2^413141314 is an apocalyptic number.

413141314 is a deficient number, since it is larger than the sum of its proper divisors (208347386).

413141314 is a wasteful number, since it uses less digits than its factorization.

413141314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592244.

The product of its digits is 576, while the sum is 22.

The square root of 413141314 is about 20325.8779392183. The cubic root of 413141314 is about 744.7883512107.

The spelling of 413141314 in words is "four hundred thirteen million, one hundred forty-one thousand, three hundred fourteen".