42408629 has 2 divisors, whose sum is σ = 42408630. Its totient is φ = 42408628.

The previous prime is 42408607. The next prime is 42408631. The reversal of 42408629 is 92680424.

42408629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38316100 + 4092529 = 6190^2 + 2023^2 .

It is a cyclic number.

It is not a de Polignac number, because 42408629 - 2¹² = 42404533 is a prime.

It is a Sophie Germain prime.

Together with 42408631, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42408649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21204314 + 21204315.

It is an arithmetic number, because the mean of its divisors is an integer number (21204315).

Almost surely, 2^42408629 is an apocalyptic number.

It is an amenable number.

42408629 is a deficient number, since it is larger than the sum of its proper divisors (1).

42408629 is an equidigital number, since it uses as much as digits as its factorization.

42408629 is an odious number, because the sum of its binary digits is odd.

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

The square root of 42408629 is about 6512.1907988019. The cubic root of 42408629 is about 348.7263339584.

The spelling of 42408629 in words is "forty-two million, four hundred eight thousand, six hundred twenty-nine".