480795 has 32 divisors (see below), whose sum is σ = 929280. Its totient is φ = 207360.

The previous prime is 480787. The next prime is 480803. The reversal of 480795 is 597084.

It is an interprime number because it is at equal distance from previous prime (480787) and next prime (480803).

It is not a de Polignac number, because 480795 - 2³ = 480787 is a prime.

It is a super-3 number, since 3×480795³ = 333427243855379625, which contains 333 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480795.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1875 + ... + 2115.

It is an arithmetic number, because the mean of its divisors is an integer number (29040).

2⁴⁸⁰⁷⁹⁵ is an apocalyptic number.

480795 is a deficient number, since it is larger than the sum of its proper divisors (448485).

480795 is a wasteful number, since it uses less digits than its factorization.

480795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 480795 is about 693.3938274891. The cubic root of 480795 is about 78.3405556441.

It can be divided in two parts, 48079 and 5, that added together give a palindrome (48084).

The spelling of 480795 in words is "four hundred eighty thousand, seven hundred ninety-five".