414808313 has 8 divisors (see below), whose sum is σ = 443559240. Its totient is φ = 386540800.

The previous prime is 414808309. The next prime is 414808319. The reversal of 414808313 is 313808414.

It can be written as a sum of positive squares in 4 ways, for example, as 202435984 + 212372329 = 14228^2 + 14573^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 414808313 - 2² = 414808309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414808313.

It is not an unprimeable number, because it can be changed into a prime (414808319) 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 7 ways as a sum of consecutive naturals, for example, 119078 + ... + 122511.

It is an arithmetic number, because the mean of its divisors is an integer number (55444905).

Almost surely, 2^414808313 is an apocalyptic number.

It is an amenable number.

414808313 is a deficient number, since it is larger than the sum of its proper divisors (28750927).

414808313 is a wasteful number, since it uses less digits than its factorization.

414808313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241707.

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 414808313 is about 20366.8434716821. The cubic root of 414808313 is about 745.7887315116.

The spelling of 414808313 in words is "four hundred fourteen million, eight hundred eight thousand, three hundred thirteen".