413000314 has 8 divisors (see below), whose sum is σ = 622710900. Its totient is φ = 205430016.

The previous prime is 413000309. The next prime is 413000353.

413000314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 411400089 + 1600225 = 20283^2 + 1265^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 534589 + ... + 535360.

Almost surely, 2^413000314 is an apocalyptic number.

413000314 is a deficient number, since it is larger than the sum of its proper divisors (209710586).

413000314 is a wasteful number, since it uses less digits than its factorization.

413000314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070144.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 413000314 is about 20322.4091583651. The cubic root of 413000314 is about 744.7036125648.

It can be divided in two parts, 413000 and 314, that added together give a palindrome (413314).

The spelling of 413000314 in words is "four hundred thirteen million, three hundred fourteen", and thus it is an aban number.