480475233 has 60 divisors (see below), whose sum is σ = 884167812. Its totient is φ = 258370560.

The previous prime is 480475217. The next prime is 480475243. The reversal of 480475233 is 332574084.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 160351569 + 320123664 = 12663^2 + 17892^2 .

It is not a de Polignac number, because 480475233 - 2⁴ = 480475217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (480475213) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 63913 + ... + 71033.

Almost surely, 2^480475233 is an apocalyptic number.

It is an amenable number.

480475233 is a deficient number, since it is larger than the sum of its proper divisors (403692579).

480475233 is a wasteful number, since it uses less digits than its factorization.

480475233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7164 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 480475233 is about 21919.7452768047. The cubic root of 480475233 is about 783.2318422104.

The spelling of 480475233 in words is "four hundred eighty million, four hundred seventy-five thousand, two hundred thirty-three".