414122249 has 2 divisors, whose sum is σ = 414122250. Its totient is φ = 414122248.

The previous prime is 414122237. The next prime is 414122257. The reversal of 414122249 is 942221414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 398281849 + 15840400 = 19957^2 + 3980^2 .

It is a cyclic number.

It is not a de Polignac number, because 414122249 - 2¹² = 414118153 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (414122209) 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, 207061124 + 207061125.

It is an arithmetic number, because the mean of its divisors is an integer number (207061125).

Almost surely, 2^414122249 is an apocalyptic number.

It is an amenable number.

414122249 is a deficient number, since it is larger than the sum of its proper divisors (1).

414122249 is an equidigital number, since it uses as much as digits as its factorization.

414122249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4608, while the sum is 29.

The square root of 414122249 is about 20349.9938329229. The cubic root of 414122249 is about 745.3773437883.

The spelling of 414122249 in words is "four hundred fourteen million, one hundred twenty-two thousand, two hundred forty-nine".