480500 has 36 divisors (see below), whose sum is σ = 1084356. Its totient is φ = 186000.

The previous prime is 480499. The next prime is 480503. The reversal of 480500 is 5084.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 15376 + 465124 = 124^2 + 682^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480503) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15485 + ... + 15515.

It is an arithmetic number, because the mean of its divisors is an integer number (30121).

2⁴⁸⁰⁵⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542178).

480500 is an abundant number, since it is smaller than the sum of its proper divisors (603856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480500 is a wasteful number, since it uses less digits than its factorization.

480500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 480500 is about 693.1810730249. The cubic root of 480500 is about 78.3245299699.

Adding to 480500 its reverse (5084), we get a palindrome (485584).

The spelling of 480500 in words is "four hundred eighty thousand, five hundred".