417042629 has 2 divisors, whose sum is σ = 417042630. Its totient is φ = 417042628.

The previous prime is 417042617. The next prime is 417042631. The reversal of 417042629 is 926240714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 416241604 + 801025 = 20402^2 + 895^2 .

It is a cyclic number.

It is not a de Polignac number, because 417042629 - 2¹² = 417038533 is a prime.

Together with 417042631, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (417042679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208521314 + 208521315.

It is an arithmetic number, because the mean of its divisors is an integer number (208521315).

Almost surely, 2^417042629 is an apocalyptic number.

It is an amenable number.

417042629 is a deficient number, since it is larger than the sum of its proper divisors (1).

417042629 is an equidigital number, since it uses as much as digits as its factorization.

417042629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 417042629 is about 20421.6216055435. The cubic root of 417042629 is about 747.1253688115.

The spelling of 417042629 in words is "four hundred seventeen million, forty-two thousand, six hundred twenty-nine".