414129769 has 2 divisors, whose sum is σ = 414129770. Its totient is φ = 414129768.

The previous prime is 414129767. The next prime is 414129787. The reversal of 414129769 is 967921414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 413105625 + 1024144 = 20325^2 + 1012^2 .

It is a cyclic number.

It is not a de Polignac number, because 414129769 - 2¹ = 414129767 is a prime.

It is a super-2 number, since 2×414129769² = 343006931143986722, which contains 22 as substring.

Together with 414129767, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (414129761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207064884 + 207064885.

It is an arithmetic number, because the mean of its divisors is an integer number (207064885).

Almost surely, 2^414129769 is an apocalyptic number.

It is an amenable number.

414129769 is a deficient number, since it is larger than the sum of its proper divisors (1).

414129769 is an equidigital number, since it uses as much as digits as its factorization.

414129769 is an evil number, because the sum of its binary digits is even.

The product of its digits is 108864, while the sum is 43.

The square root of 414129769 is about 20350.1785987249. The cubic root of 414129769 is about 745.3818555025.

The spelling of 414129769 in words is "four hundred fourteen million, one hundred twenty-nine thousand, seven hundred sixty-nine".