528480 has 72 divisors (see below), whose sum is σ = 1808352. Its totient is φ = 140544.

The previous prime is 528469. The next prime is 528487. The reversal of 528480 is 84825.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×528480² = 558582220800, which contains 22 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528480.

It is not an unprimeable number, because it can be changed into a prime (528487) by changing a digit.

528480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1257 + ... + 1623.

It is an arithmetic number, because the mean of its divisors is an integer number (25116).

2⁵²⁸⁴⁸⁰ 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 528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904176).

528480 is an abundant number, since it is smaller than the sum of its proper divisors (1279872).

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

528480 is a wasteful number, since it uses less digits than its factorization.

528480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

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

The square root of 528480 is about 726.9662990813. The cubic root of 528480 is about 80.8492853580.

The spelling of 528480 in words is "five hundred twenty-eight thousand, four hundred eighty".