464005117217 has 8 divisors (see below), whose sum is σ = 484743786240. Its totient is φ = 443627120880.

The previous prime is 464005117207. The next prime is 464005117223. The reversal of 464005117217 is 712711500464.

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 464005117217 - 2⁸ = 464005116961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464005117207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90165542 + ... + 90170687.

It is an arithmetic number, because the mean of its divisors is an integer number (60592973280).

Almost surely, 2^464005117217 is an apocalyptic number.

It is an amenable number.

464005117217 is a deficient number, since it is larger than the sum of its proper divisors (20738669023).

464005117217 is a wasteful number, since it uses less digits than its factorization.

464005117217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180336343.

The product of its (nonzero) digits is 47040, while the sum is 38.

The spelling of 464005117217 in words is "four hundred sixty-four billion, five million, one hundred seventeen thousand, two hundred seventeen".