480971517 has 16 divisors (see below), whose sum is σ = 695674560. Its totient is φ = 293818752.

The previous prime is 480971509. The next prime is 480971521. The reversal of 480971517 is 715179084.

It is not a de Polignac number, because 480971517 - 2³ = 480971509 is a prime.

It is a super-3 number, since 3×480971517³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480971597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39667 + ... + 50352.

It is an arithmetic number, because the mean of its divisors is an integer number (43479660).

Almost surely, 2^480971517 is an apocalyptic number.

It is an amenable number.

480971517 is a deficient number, since it is larger than the sum of its proper divisors (214703043).

480971517 is a wasteful number, since it uses less digits than its factorization.

480971517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90172.

The product of its (nonzero) digits is 70560, while the sum is 42.

The square root of 480971517 is about 21931.0628333421. The cubic root of 480971517 is about 783.5014167553.

The spelling of 480971517 in words is "four hundred eighty million, nine hundred seventy-one thousand, five hundred seventeen".