480233 has 16 divisors (see below), whose sum is σ = 571536. Its totient is φ = 399360.

The previous prime is 480209. The next prime is 480287. The reversal of 480233 is 332084.

It can be written as a sum of positive squares in 8 ways, for example, as 21904 + 458329 = 148^2 + 677^2 .

It is not a de Polignac number, because 480233 - 2⁶ = 480169 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480233.

It is not an unprimeable number, because it can be changed into a prime (480203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9035 + ... + 9087.

It is an arithmetic number, because the mean of its divisors is an integer number (35721).

2⁴⁸⁰²³³ is an apocalyptic number.

It is an amenable number.

480233 is a deficient number, since it is larger than the sum of its proper divisors (91303).

480233 is a wasteful number, since it uses less digits than its factorization.

480233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 480233 is about 692.9884558923. The cubic root of 480233 is about 78.3100197207.

The spelling of 480233 in words is "four hundred eighty thousand, two hundred thirty-three".