417680005 has 8 divisors (see below), whose sum is σ = 502335000. Its totient is φ = 333398016.

The previous prime is 417679981. The next prime is 417680009. The reversal of 417680005 is 500086714.

It can be written as a sum of positive squares in 4 ways, for example, as 20196036 + 397483969 = 4494^2 + 19937^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 417680005 - 2⁷ = 417679877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417680009) 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 7 ways as a sum of consecutive naturals, for example, 90780 + ... + 95269.

It is an arithmetic number, because the mean of its divisors is an integer number (62791875).

Almost surely, 2^417680005 is an apocalyptic number.

It is an amenable number.

417680005 is a deficient number, since it is larger than the sum of its proper divisors (84654995).

417680005 is a wasteful number, since it uses less digits than its factorization.

417680005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186503.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 417680005 is about 20437.2210684330. The cubic root of 417680005 is about 747.5057914638.

The spelling of 417680005 in words is "four hundred seventeen million, six hundred eighty thousand, five".