480959869 has 24 divisors (see below), whose sum is σ = 553324520. Its totient is φ = 415494144.

The previous prime is 480959783. The next prime is 480959873. The reversal of 480959869 is 968959084.

It can be written as a sum of positive squares in 12 ways, for example, as 73444900 + 407514969 = 8570^2 + 20187^2 .

It is not a de Polignac number, because 480959869 - 2¹¹ = 480957821 is a prime.

It is a super-3 number, since 3×480959869³ (a number of 27 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 (480959669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1175737 + ... + 1176145.

Almost surely, 2^480959869 is an apocalyptic number.

It is an amenable number.

480959869 is a deficient number, since it is larger than the sum of its proper divisors (72364651).

480959869 is a wasteful number, since it uses less digits than its factorization.

480959869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 58.

The square root of 480959869 is about 21930.7972723292. The cubic root of 480959869 is about 783.4950918498.

The spelling of 480959869 in words is "four hundred eighty million, nine hundred fifty-nine thousand, eight hundred sixty-nine".