414464129 has 2 divisors, whose sum is σ = 414464130. Its totient is φ = 414464128.

The previous prime is 414464111. The next prime is 414464153. The reversal of 414464129 is 921464414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 348009025 + 66455104 = 18655^2 + 8152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414464129 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (414404129) 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, 207232064 + 207232065.

It is an arithmetic number, because the mean of its divisors is an integer number (207232065).

Almost surely, 2^414464129 is an apocalyptic number.

It is an amenable number.

414464129 is a deficient number, since it is larger than the sum of its proper divisors (1).

414464129 is an equidigital number, since it uses as much as digits as its factorization.

414464129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27648, while the sum is 35.

The square root of 414464129 is about 20358.3921025213. The cubic root of 414464129 is about 745.5824036178.

The spelling of 414464129 in words is "four hundred fourteen million, four hundred sixty-four thousand, one hundred twenty-nine".