414080017 has 32 divisors (see below), whose sum is σ = 480969216. Its totient is φ = 353548800.

The previous prime is 414079979. The next prime is 414080021. The reversal of 414080017 is 710080414.

It is a cyclic number.

It is not a de Polignac number, because 414080017 - 2⁷ = 414079889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414079973 and 414080000.

It is not an unprimeable number, because it can be changed into a prime (414080047) 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 in 31 ways as a sum of consecutive naturals, for example, 1331292 + ... + 1331602.

It is an arithmetic number, because the mean of its divisors is an integer number (15030288).

Almost surely, 2^414080017 is an apocalyptic number.

It is an amenable number.

414080017 is a deficient number, since it is larger than the sum of its proper divisors (66889199).

414080017 is a wasteful number, since it uses less digits than its factorization.

414080017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481.

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 414080017 is about 20348.9561648749. The cubic root of 414080017 is about 745.3520051786.

The spelling of 414080017 in words is "four hundred fourteen million, eighty thousand, seventeen".