480664971 has 24 divisors (see below), whose sum is σ = 726429600. Its totient is φ = 305686656.

The previous prime is 480664957. The next prime is 480664979. The reversal of 480664971 is 179466084.

480664971 is a `hidden beast` number, since 480 + 66 + 49 + 71 = 666.

It is not a de Polignac number, because 480664971 - 2⁵ = 480664939 is a prime.

It is a super-3 number, since 3×480664971³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480664979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79255 + ... + 85103.

It is an arithmetic number, because the mean of its divisors is an integer number (30267900).

Almost surely, 2^480664971 is an apocalyptic number.

480664971 is a deficient number, since it is larger than the sum of its proper divisors (245764629).

480664971 is a wasteful number, since it uses less digits than its factorization.

480664971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6275 (or 6272 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 480664971 is about 21924.0728652320. The cubic root of 480664971 is about 783.3349271533.

The spelling of 480664971 in words is "four hundred eighty million, six hundred sixty-four thousand, nine hundred seventy-one".