533280 has 96 divisors (see below), whose sum is σ = 1850688. Its totient is φ = 128000.

The previous prime is 533263. The next prime is 533297. The reversal of 533280 is 82335.

It is an interprime number because it is at equal distance from previous prime (533263) and next prime (533297).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

533280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5230 + ... + 5330.

It is an arithmetic number, because the mean of its divisors is an integer number (19278).

2⁵³³²⁸⁰ 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 533280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925344).

533280 is an abundant number, since it is smaller than the sum of its proper divisors (1317408).

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

533280 is a wasteful number, since it uses less digits than its factorization.

533280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 533280 is about 730.2602275901. The cubic root of 533280 is about 81.0933233166.

It can be divided in two parts, 53 and 3280, that added together give a palindrome (3333).

The spelling of 533280 in words is "five hundred thirty-three thousand, two hundred eighty".