480733 has 12 divisors (see below), whose sum is σ = 550620. Its totient is φ = 418880.

The previous prime is 480731. The next prime is 480737. The reversal of 480733 is 337084.

It can be written as a sum of positive squares in 2 ways, for example, as 267289 + 213444 = 517^2 + 462^2 .

It is not a de Polignac number, because 480733 - 2¹ = 480731 is a prime.

It is a super-3 number, since 3×480733³ = 333298271069978511, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 480698 and 480707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3441 + ... + 3577.

It is an arithmetic number, because the mean of its divisors is an integer number (45885).

2⁴⁸⁰⁷³³ is an apocalyptic number.

It is an amenable number.

480733 is a deficient number, since it is larger than the sum of its proper divisors (69887).

480733 is a wasteful number, since it uses less digits than its factorization.

480733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 480733 is about 693.3491184101. The cubic root of 480733 is about 78.3371880805.

The spelling of 480733 in words is "four hundred eighty thousand, seven hundred thirty-three".