414187649 has 2 divisors, whose sum is σ = 414187650. Its totient is φ = 414187648.

The previous prime is 414187637. The next prime is 414187651. The reversal of 414187649 is 946781414.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 410346049 + 3841600 = 20257^2 + 1960^2 .

It is a cyclic number.

It is not a de Polignac number, because 414187649 - 2⁸ = 414187393 is a prime.

It is a Sophie Germain prime.

Together with 414187651, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (414187849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207093824 + 207093825.

It is an arithmetic number, because the mean of its divisors is an integer number (207093825).

Almost surely, 2^414187649 is an apocalyptic number.

It is an amenable number.

414187649 is a deficient number, since it is larger than the sum of its proper divisors (1).

414187649 is an equidigital number, since it uses as much as digits as its factorization.

414187649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 193536, while the sum is 44.

The square root of 414187649 is about 20351.6006495804. The cubic root of 414187649 is about 745.4165794749.

The spelling of 414187649 in words is "four hundred fourteen million, one hundred eighty-seven thousand, six hundred forty-nine".