413010314 has 8 divisors (see below), whose sum is σ = 619607748. Its totient is φ = 206474400.

The previous prime is 413010289. The next prime is 413010331.

413010314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 278055625 + 134954689 = 16675^2 + 11617^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 413010292 and 413010301.

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, 9374 + ... + 30230.

Almost surely, 2^413010314 is an apocalyptic number.

413010314 is a deficient number, since it is larger than the sum of its proper divisors (206597434).

413010314 is a wasteful number, since it uses less digits than its factorization.

413010314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30760.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 413010314 is about 20322.6551906979. The cubic root of 413010314 is about 744.7096230332.

The spelling of 413010314 in words is "four hundred thirteen million, ten thousand, three hundred fourteen".