414233313 has 16 divisors (see below), whose sum is σ = 598367616. Its totient is φ = 253382400.

The previous prime is 414233311. The next prime is 414233321. The reversal of 414233313 is 313332414.

It is not a de Polignac number, because 414233313 - 2¹ = 414233311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414233311) 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 15 ways as a sum of consecutive naturals, for example, 25288 + ... + 38313.

It is an arithmetic number, because the mean of its divisors is an integer number (37397976).

Almost surely, 2^414233313 is an apocalyptic number.

It is an amenable number.

414233313 is a deficient number, since it is larger than the sum of its proper divisors (184134303).

414233313 is a wasteful number, since it uses less digits than its factorization.

414233313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63784.

The product of its digits is 2592, while the sum is 24.

The square root of 414233313 is about 20352.7224960200. The cubic root of 414233313 is about 745.4439724146.

Adding to 414233313 its reverse (313332414), we get a palindrome (727565727).

The spelling of 414233313 in words is "four hundred fourteen million, two hundred thirty-three thousand, three hundred thirteen".