582480 has 60 divisors (see below), whose sum is σ = 1958580. Its totient is φ = 155136.

The previous prime is 582469. The next prime is 582499. The reversal of 582480 is 84285.

582480 is a `hidden beast` number, since 582 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 207936 = 612^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

582480 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, 316 + ... + 1124.

It is an arithmetic number, because the mean of its divisors is an integer number (32643).

2⁵⁸²⁴⁸⁰ 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 582480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979290).

582480 is an abundant number, since it is smaller than the sum of its proper divisors (1376100).

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

582480 is a wasteful number, since it uses less digits than its factorization.

582480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 819 counting only the distinct ones).

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

The square root of 582480 is about 763.2037735756. The cubic root of 582480 is about 83.5142027068.

The spelling of 582480 in words is "five hundred eighty-two thousand, four hundred eighty".