487584 has 36 divisors (see below), whose sum is σ = 1387386. Its totient is φ = 162432.

The previous prime is 487561. The next prime is 487589. The reversal of 487584 is 485784.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 51984 = 660^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 487584.

It is not an unprimeable number, because it can be changed into a prime (487589) by changing a digit.

487584 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 5 ways as a sum of consecutive naturals, for example, 559 + ... + 1134.

2⁴⁸⁷⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

487584 is an abundant number, since it is smaller than the sum of its proper divisors (899802).

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

487584 is a wasteful number, since it uses less digits than its factorization.

487584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1698 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 487584 is about 698.2721532469. The cubic root of 487584 is about 78.7075659520.

The spelling of 487584 in words is "four hundred eighty-seven thousand, five hundred eighty-four".