414441321 has 16 divisors (see below), whose sum is σ = 631956864. Its totient is φ = 236663424.

The previous prime is 414441299. The next prime is 414441323. The reversal of 414441321 is 123144414.

It is not a de Polignac number, because 414441321 - 2⁵ = 414441289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414441291 and 414441300.

It is not an unprimeable number, because it can be changed into a prime (414441323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29725 + ... + 41381.

It is an arithmetic number, because the mean of its divisors is an integer number (39497304).

Almost surely, 2^414441321 is an apocalyptic number.

It is an amenable number.

414441321 is a deficient number, since it is larger than the sum of its proper divisors (217515543).

414441321 is a wasteful number, since it uses less digits than its factorization.

414441321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13360.

The product of its digits is 1536, while the sum is 24.

The square root of 414441321 is about 20357.8319326985. The cubic root of 414441321 is about 745.5687268770.

Adding to 414441321 its reverse (123144414), we get a palindrome (537585735).

The spelling of 414441321 in words is "four hundred fourteen million, four hundred forty-one thousand, three hundred twenty-one".