414331065 has 16 divisors (see below), whose sum is σ = 736588800. Its totient is φ = 220976496.

The previous prime is 414331013. The next prime is 414331067. The reversal of 414331065 is 560133414.

It is not a de Polignac number, because 414331065 - 2¹⁰ = 414330041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (414331067) 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, 1534425 + ... + 1534694.

It is an arithmetic number, because the mean of its divisors is an integer number (46036800).

Almost surely, 2^414331065 is an apocalyptic number.

414331065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414331065 is a deficient number, since it is larger than the sum of its proper divisors (322257735).

414331065 is a wasteful number, since it uses less digits than its factorization.

414331065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069133 (or 3069127 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 414331065 is about 20355.1238021290. The cubic root of 414331065 is about 745.5026051591.

Adding to 414331065 its reverse (560133414), we get a palindrome (974464479).

The spelling of 414331065 in words is "four hundred fourteen million, three hundred thirty-one thousand, sixty-five".