480771459 has 48 divisors (see below), whose sum is σ = 847342080. Its totient is φ = 256556160.

The previous prime is 480771419. The next prime is 480771469. The reversal of 480771459 is 954177084.

It is a happy number.

It is not a de Polignac number, because 480771459 - 2⁹ = 480770947 is a prime.

It is a super-3 number, since 3×480771459³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (480771419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82159 + ... + 87815.

It is an arithmetic number, because the mean of its divisors is an integer number (17652960).

Almost surely, 2^480771459 is an apocalyptic number.

480771459 is a deficient number, since it is larger than the sum of its proper divisors (366570621).

480771459 is a wasteful number, since it uses less digits than its factorization.

480771459 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 480771459 is about 21926.5012940961. The cubic root of 480771459 is about 783.3927703605.

The spelling of 480771459 in words is "four hundred eighty million, seven hundred seventy-one thousand, four hundred fifty-nine".