480852 has 54 divisors (see below), whose sum is σ = 1317498. Its totient is φ = 147744.

The previous prime is 480839. The next prime is 480853. The reversal of 480852 is 258084.

480852 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 467856 + 12996 = 684^2 + 114^2 .

It is a super-3 number, since 3×480852³ = 333545844960690624, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480853) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12978 + ... + 13014.

2⁴⁸⁰⁸⁵² 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 480852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658749).

480852 is an abundant number, since it is smaller than the sum of its proper divisors (836646).

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

480852 is a wasteful number, since it uses less digits than its factorization.

480852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 480852 is about 693.4349284540. The cubic root of 480852 is about 78.3436513746.

The spelling of 480852 in words is "four hundred eighty thousand, eight hundred fifty-two".