414144047 has 2 divisors, whose sum is σ = 414144048. Its totient is φ = 414144046.

The previous prime is 414143999. The next prime is 414144077. The reversal of 414144047 is 740441414.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414144047 - 2⁸ = 414143791 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414144077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207072023 + 207072024.

It is an arithmetic number, because the mean of its divisors is an integer number (207072024).

Almost surely, 2^414144047 is an apocalyptic number.

414144047 is a deficient number, since it is larger than the sum of its proper divisors (1).

414144047 is an equidigital number, since it uses as much as digits as its factorization.

414144047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 414144047 is about 20350.5294034332. The cubic root of 414144047 is about 745.3904216096.

The spelling of 414144047 in words is "four hundred fourteen million, one hundred forty-four thousand, forty-seven".