414816047 has 2 divisors, whose sum is σ = 414816048. Its totient is φ = 414816046.

The previous prime is 414816013. The next prime is 414816071. The reversal of 414816047 is 740618414.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414816047 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 414815998 and 414816016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414816007) 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, 207408023 + 207408024.

It is an arithmetic number, because the mean of its divisors is an integer number (207408024).

Almost surely, 2^414816047 is an apocalyptic number.

414816047 is a deficient number, since it is larger than the sum of its proper divisors (1).

414816047 is an equidigital number, since it uses as much as digits as its factorization.

414816047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 414816047 is about 20367.0333382160. The cubic root of 414816047 is about 745.7933664992.

The spelling of 414816047 in words is "four hundred fourteen million, eight hundred sixteen thousand, forty-seven".