480765 has 8 divisors (see below), whose sum is σ = 769248. Its totient is φ = 256400.

The previous prime is 480761. The next prime is 480773. The reversal of 480765 is 567084.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 480765 - 2² = 480761 is a prime.

It is a super-3 number, since 3×480765³ = 333364833515091375, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480765.

It is not an unprimeable number, because it can be changed into a prime (480761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16011 + ... + 16040.

It is an arithmetic number, because the mean of its divisors is an integer number (96156).

2⁴⁸⁰⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

480765 is a deficient number, since it is larger than the sum of its proper divisors (288483).

480765 is a wasteful number, since it uses less digits than its factorization.

480765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32059.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 480765 is about 693.3721944237. The cubic root of 480765 is about 78.3389262140.

The spelling of 480765 in words is "four hundred eighty thousand, seven hundred sixty-five".