480510 has 48 divisors (see below), whose sum is σ = 1319760. Its totient is φ = 120960.

The previous prime is 480509. The next prime is 480517. The reversal of 480510 is 15084.

480510 = 308² + 309² + ... + 312².

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480517) 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 23 ways as a sum of consecutive naturals, for example, 1570 + ... + 1850.

It is an arithmetic number, because the mean of its divisors is an integer number (27495).

2⁴⁸⁰⁵¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659880).

480510 is an abundant number, since it is smaller than the sum of its proper divisors (839250).

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

480510 is a wasteful number, since it uses less digits than its factorization.

480510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 480510 is about 693.1882861099. The cubic root of 480510 is about 78.3250733205.

Adding to 480510 its reverse (15084), we get a palindrome (495594).

It can be divided in two parts, 480 and 510, that added together give a triangular number (990 = T₄₄).

The spelling of 480510 in words is "four hundred eighty thousand, five hundred ten".