480753 has 24 divisors (see below), whose sum is σ = 856128. Its totient is φ = 253152.

The previous prime is 480749. The next prime is 480761. The reversal of 480753 is 357084.

It is not a de Polignac number, because 480753 - 2² = 480749 is a prime.

It is a super-3 number, since 3×480753³ = 333339871559753331, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (480713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526 + ... + 1112.

It is an arithmetic number, because the mean of its divisors is an integer number (35672).

2⁴⁸⁰⁷⁵³ is an apocalyptic number.

It is an amenable number.

480753 is a deficient number, since it is larger than the sum of its proper divisors (375375).

480753 is a wasteful number, since it uses less digits than its factorization.

480753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 480753 is about 693.3635410086. The cubic root of 480753 is about 78.3382744230.

The spelling of 480753 in words is "four hundred eighty thousand, seven hundred fifty-three".