480528 has 60 divisors (see below), whose sum is σ = 1392768. Its totient is φ = 154560.

The previous prime is 480527. The next prime is 480533. The reversal of 480528 is 825084.

480528 is a modest number, since divided by 528 gives 48 as remainder.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (480521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6733 + ... + 6803.

2⁴⁸⁰⁵²⁸ is an apocalyptic number.

480528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696384).

480528 is an abundant number, since it is smaller than the sum of its proper divisors (912240).

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

480528 is a wasteful number, since it uses less digits than its factorization.

480528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 123 counting only the distinct ones).

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

The square root of 480528 is about 693.2012694737. The cubic root of 480528 is about 78.3260513325.

The spelling of 480528 in words is "four hundred eighty thousand, five hundred twenty-eight".