414404017 has 2 divisors, whose sum is σ = 414404018. Its totient is φ = 414404016.

The previous prime is 414404009. The next prime is 414404051. The reversal of 414404017 is 710404414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 229552801 + 184851216 = 15151^2 + 13596^2 .

It is a cyclic number.

It is not a de Polignac number, because 414404017 - 2³ = 414404009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414403982 and 414404000.

It is not a weakly prime, because it can be changed into another prime (414408017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207202008 + 207202009.

It is an arithmetic number, because the mean of its divisors is an integer number (207202009).

Almost surely, 2^414404017 is an apocalyptic number.

It is an amenable number.

414404017 is a deficient number, since it is larger than the sum of its proper divisors (1).

414404017 is an equidigital number, since it uses as much as digits as its factorization.

414404017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 414404017 is about 20356.9157044971. The cubic root of 414404017 is about 745.5463565768.

The spelling of 414404017 in words is "four hundred fourteen million, four hundred four thousand, seventeen".