487315584 has 288 divisors, whose sum is σ = 1666583100. Its totient is φ = 136249344.

The previous prime is 487315573. The next prime is 487315613. The reversal of 487315584 is 485513784.

It can be written as a sum of positive squares in 2 ways, for example, as 469675584 + 17640000 = 21672^2 + 4200^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×487315584² = 474952956818522112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5023824 + ... + 5023920.

Almost surely, 2^487315584 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 487315584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833291550).

487315584 is an abundant number, since it is smaller than the sum of its proper divisors (1179267516).

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

487315584 is a wasteful number, since it uses less digits than its factorization.

487315584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 487315584 is about 22075.2255707614. The cubic root of 487315584 is about 786.9312040835.

The spelling of 487315584 in words is "four hundred eighty-seven million, three hundred fifteen thousand, five hundred eighty-four".