414342007 has 2 divisors, whose sum is σ = 414342008. Its totient is φ = 414342006.

The previous prime is 414341981. The next prime is 414342017. The reversal of 414342007 is 700243414.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414342007 - 2²⁷ = 280124279 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414342017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207171003 + 207171004.

It is an arithmetic number, because the mean of its divisors is an integer number (207171004).

Almost surely, 2^414342007 is an apocalyptic number.

414342007 is a deficient number, since it is larger than the sum of its proper divisors (1).

414342007 is an equidigital number, since it uses as much as digits as its factorization.

414342007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 414342007 is about 20355.3925778895. The cubic root of 414342007 is about 745.5091677194.

The spelling of 414342007 in words is "four hundred fourteen million, three hundred forty-two thousand, seven".