413404314 has 16 divisors (see below), whose sum is σ = 837275520. Its totient is φ = 136056960.

The previous prime is 413404273. The next prime is 413404333.

413404314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435607 + ... + 436554.

It is an arithmetic number, because the mean of its divisors is an integer number (52329720).

Almost surely, 2^413404314 is an apocalyptic number.

413404314 is an abundant number, since it is smaller than the sum of its proper divisors (423871206).

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

413404314 is a wasteful number, since it uses less digits than its factorization.

413404314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872245.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 413404314 is about 20332.3464951786. The cubic root of 413404314 is about 744.9463583136.

It can be divided in two parts, 41340 and 4314, that added together give a palindrome (45654).

The spelling of 413404314 in words is "four hundred thirteen million, four hundred four thousand, three hundred fourteen".