480472971 has 24 divisors (see below), whose sum is σ = 705432000. Its totient is φ = 290671920.

The previous prime is 480472903. The next prime is 480473003. The reversal of 480472971 is 179274084.

It is a happy number.

It is not a de Polignac number, because 480472971 - 2¹⁷ = 480341899 is a prime.

It is not an unprimeable number, because it can be changed into a prime (480472471) 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 23 ways as a sum of consecutive naturals, for example, 319780 + ... + 321278.

It is an arithmetic number, because the mean of its divisors is an integer number (29393000).

Almost surely, 2^480472971 is an apocalyptic number.

480472971 is a deficient number, since it is larger than the sum of its proper divisors (224959029).

480472971 is a wasteful number, since it uses less digits than its factorization.

480472971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 480472971 is about 21919.6936794290. The cubic root of 480472971 is about 783.2306130987.

The spelling of 480472971 in words is "four hundred eighty million, four hundred seventy-two thousand, nine hundred seventy-one".