480472973 has 16 divisors (see below), whose sum is σ = 500919552. Its totient is φ = 460512000.

The previous prime is 480472903. The next prime is 480473003. The reversal of 480472973 is 379274084.

It is not a de Polignac number, because 480472973 - 2¹⁰ = 480471949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480472903) 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, 921953 + ... + 922473.

It is an arithmetic number, because the mean of its divisors is an integer number (31307472).

Almost surely, 2^480472973 is an apocalyptic number.

It is an amenable number.

480472973 is a deficient number, since it is larger than the sum of its proper divisors (20446579).

480472973 is a wasteful number, since it uses less digits than its factorization.

480472973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916.

The product of its (nonzero) digits is 338688, while the sum is 44.

The square root of 480472973 is about 21919.6937250501. The cubic root of 480472973 is about 783.2306141855.

It can be divided in two parts, 4804 and 72973, that added together give a palindrome (77777).

The spelling of 480472973 in words is "four hundred eighty million, four hundred seventy-two thousand, nine hundred seventy-three".