414050313 has 32 divisors (see below), whose sum is σ = 589881600. Its totient is φ = 257838336.

The previous prime is 414050293. The next prime is 414050321. The reversal of 414050313 is 313050414.

It is not a de Polignac number, because 414050313 - 2⁸ = 414050057 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 414050313.

It is not an unprimeable number, because it can be changed into a prime (414050323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942948 + ... + 943386.

It is an arithmetic number, because the mean of its divisors is an integer number (18433800).

Almost surely, 2^414050313 is an apocalyptic number.

It is an amenable number.

414050313 is a deficient number, since it is larger than the sum of its proper divisors (175831287).

414050313 is a wasteful number, since it uses less digits than its factorization.

414050313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 414050313 is about 20348.2262863376. The cubic root of 414050313 is about 745.3341821618.

The spelling of 414050313 in words is "four hundred fourteen million, fifty thousand, three hundred thirteen".