414322241 has 2 divisors, whose sum is σ = 414322242. Its totient is φ = 414322240.

The previous prime is 414322219. The next prime is 414322247. The reversal of 414322241 is 142223414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 409050625 + 5271616 = 20225^2 + 2296^2 .

It is a cyclic number.

It is not a de Polignac number, because 414322241 - 2⁶ = 414322177 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (414322247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207161120 + 207161121.

It is an arithmetic number, because the mean of its divisors is an integer number (207161121).

Almost surely, 2^414322241 is an apocalyptic number.

It is an amenable number.

414322241 is a deficient number, since it is larger than the sum of its proper divisors (1).

414322241 is an equidigital number, since it uses as much as digits as its factorization.

414322241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1536, while the sum is 23.

The square root of 414322241 is about 20354.9070496527. The cubic root of 414322241 is about 745.4973128038.

Adding to 414322241 its reverse (142223414), we get a palindrome (556545655).

The spelling of 414322241 in words is "four hundred fourteen million, three hundred twenty-two thousand, two hundred forty-one".