480631456384717 has 16 divisors (see below), whose sum is σ = 526604138948160. Its totient is φ = 435038796432000.

The previous prime is 480631456384691. The next prime is 480631456384741. The reversal of 480631456384717 is 717483654136084.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 480631456384717 - 2⁴⁷ = 339893968029389 is a prime.

It is a super-3 number, since 3×480631456384717³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480631456384777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42208159 + ... + 52371667.

It is an arithmetic number, because the mean of its divisors is an integer number (32912758684260).

Almost surely, 2^{480631456384717} is an apocalyptic number.

It is an amenable number.

480631456384717 is a deficient number, since it is larger than the sum of its proper divisors (45972682563443).

480631456384717 is a wasteful number, since it uses less digits than its factorization.

480631456384717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10182204.

The product of its (nonzero) digits is 325140480, while the sum is 67.

The spelling of 480631456384717 in words is "four hundred eighty trillion, six hundred thirty-one billion, four hundred fifty-six million, three hundred eighty-four thousand, seven hundred seventeen".