414413321 has 16 divisors (see below), whose sum is σ = 483897600. Its totient is φ = 347561280.

The previous prime is 414413303. The next prime is 414413341. The reversal of 414413321 is 123314414.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414413321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414413341) 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, 82535 + ... + 87411.

It is an arithmetic number, because the mean of its divisors is an integer number (30243600).

Almost surely, 2^414413321 is an apocalyptic number.

It is an amenable number.

414413321 is a deficient number, since it is larger than the sum of its proper divisors (69484279).

414413321 is a wasteful number, since it uses less digits than its factorization.

414413321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144.

The product of its digits is 1152, while the sum is 23.

The square root of 414413321 is about 20357.1442250626. The cubic root of 414413321 is about 745.5519360846.

Adding to 414413321 its reverse (123314414), we get a palindrome (537727735).

The spelling of 414413321 in words is "four hundred fourteen million, four hundred thirteen thousand, three hundred twenty-one".