414914441 has 2 divisors, whose sum is σ = 414914442. Its totient is φ = 414914440.

The previous prime is 414914429. The next prime is 414914443. The reversal of 414914441 is 144419414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 381030400 + 33884041 = 19520^2 + 5821^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414914441 is a prime.

Together with 414914443, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 414914398 and 414914407.

It is not a weakly prime, because it can be changed into another prime (414914443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207457220 + 207457221.

It is an arithmetic number, because the mean of its divisors is an integer number (207457221).

Almost surely, 2^414914441 is an apocalyptic number.

It is an amenable number.

414914441 is a deficient number, since it is larger than the sum of its proper divisors (1).

414914441 is an equidigital number, since it uses as much as digits as its factorization.

414914441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9216, while the sum is 32.

The square root of 414914441 is about 20369.4487161533. The cubic root of 414914441 is about 745.8523290135.

The spelling of 414914441 in words is "four hundred fourteen million, nine hundred fourteen thousand, four hundred forty-one".