417288065 has 8 divisors (see below), whose sum is σ = 505704168. Its totient is φ = 330524800.

The previous prime is 417288049. The next prime is 417288139. The reversal of 417288065 is 560882714.

It can be written as a sum of positive squares in 4 ways, for example, as 280093696 + 137194369 = 16736^2 + 11713^2 .

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

It is not a de Polignac number, because 417288065 - 2⁴ = 417288049 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412652 + ... + 413661.

It is an arithmetic number, because the mean of its divisors is an integer number (63213021).

Almost surely, 2^417288065 is an apocalyptic number.

It is an amenable number.

417288065 is a deficient number, since it is larger than the sum of its proper divisors (88416103).

417288065 is a wasteful number, since it uses less digits than its factorization.

417288065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826419.

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 417288065 is about 20427.6299408424. The cubic root of 417288065 is about 747.2719049917.

The spelling of 417288065 in words is "four hundred seventeen million, two hundred eighty-eight thousand, sixty-five".