480975 has 36 divisors (see below), whose sum is σ = 890568. Its totient is φ = 228800.

The previous prime is 480967. The next prime is 480979. The reversal of 480975 is 579084.

It is not a de Polignac number, because 480975 - 2³ = 480967 is a prime.

It is a super-3 number, since 3×480975³ = 333801869480578125, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 480975.

It is not an unprimeable number, because it can be changed into a prime (480979) 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 35 ways as a sum of consecutive naturals, for example, 9049 + ... + 9101.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2⁴⁸⁰⁹⁷⁵ is an apocalyptic number.

480975 is a deficient number, since it is larger than the sum of its proper divisors (409593).

480975 is a wasteful number, since it uses less digits than its factorization.

480975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 72 counting only the distinct ones).

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

The square root of 480975 is about 693.5236117105. The cubic root of 480975 is about 78.3503308017.

It can be divided in two parts, 4809 and 75, that added together give a palindrome (4884).

The spelling of 480975 in words is "four hundred eighty thousand, nine hundred seventy-five".