414042337 has 2 divisors, whose sum is σ = 414042338. Its totient is φ = 414042336.

The previous prime is 414042311. The next prime is 414042341. The reversal of 414042337 is 733240414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 276590161 + 137452176 = 16631^2 + 11724^2 .

It is a cyclic number.

It is not a de Polignac number, because 414042337 - 2¹⁵ = 414009569 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (414042437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207021168 + 207021169.

It is an arithmetic number, because the mean of its divisors is an integer number (207021169).

Almost surely, 2^414042337 is an apocalyptic number.

It is an amenable number.

414042337 is a deficient number, since it is larger than the sum of its proper divisors (1).

414042337 is an equidigital number, since it uses as much as digits as its factorization.

414042337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 414042337 is about 20348.0302977954. The cubic root of 414042337 is about 745.3293962509.

The spelling of 414042337 in words is "four hundred fourteen million, forty-two thousand, three hundred thirty-seven".