480750 has 32 divisors (see below), whose sum is σ = 1201824. Its totient is φ = 128000.

The previous prime is 480749. The next prime is 480761. The reversal of 480750 is 57084.

480750 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480750³ = 333333631265625000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 480750.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 430 + ... + 1070.

It is an arithmetic number, because the mean of its divisors is an integer number (37557).

2⁴⁸⁰⁷⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600912).

480750 is an abundant number, since it is smaller than the sum of its proper divisors (721074).

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

480750 is a wasteful number, since it uses less digits than its factorization.

480750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 651 counting only the distinct ones).

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

The square root of 480750 is about 693.3613776380. The cubic root of 480750 is about 78.3381114735.

It can be divided in two parts, 480 and 750, that multiplied together give a square (360000 = 600²).

The spelling of 480750 in words is "four hundred eighty thousand, seven hundred fifty".