480705 has 16 divisors (see below), whose sum is σ = 781440. Its totient is φ = 252288.

The previous prime is 480661. The next prime is 480707. The reversal of 480705 is 507084.

It is not a de Polignac number, because 480705 - 2⁸ = 480449 is a prime.

It is a super-3 number, since 3×480705³ = 333240036199207875, which contains 333 as substring.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480705.

It is not an unprimeable number, because it can be changed into a prime (480707) 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, 876 + ... + 1314.

It is an arithmetic number, because the mean of its divisors is an integer number (48840).

2⁴⁸⁰⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

480705 is a deficient number, since it is larger than the sum of its proper divisors (300735).

480705 is a wasteful number, since it uses less digits than its factorization.

480705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 480705 is about 693.3289262680. The cubic root of 480705 is about 78.3356671504.

Adding to 480705 its reverse (507084), we get a palindrome (987789).

The spelling of 480705 in words is "four hundred eighty thousand, seven hundred five".