413626314 has 32 divisors (see below), whose sum is σ = 872124480. Its totient is φ = 130419072.

The previous prime is 413626313. The next prime is 413626321.

413626314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (413626313) 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 15 ways as a sum of consecutive naturals, for example, 83902 + ... + 88694.

It is an arithmetic number, because the mean of its divisors is an integer number (27253890).

Almost surely, 2^413626314 is an apocalyptic number.

413626314 is an abundant number, since it is smaller than the sum of its proper divisors (458498166).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413626314 is a wasteful number, since it uses less digits than its factorization.

413626314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574.

The product of its digits is 10368, while the sum is 30.

The square root of 413626314 is about 20337.8050438094. The cubic root of 413626314 is about 745.0796809809.

The spelling of 413626314 in words is "four hundred thirteen million, six hundred twenty-six thousand, three hundred fourteen".