487584032 has 48 divisors (see below), whose sum is σ = 1043353080. Its totient is φ = 222953472.

The previous prime is 487584017. The next prime is 487584037. The reversal of 487584032 is 230485784.

It can be written as a sum of positive squares in 4 ways, for example, as 466387216 + 21196816 = 21596^2 + 4604^2 .

It is a super-2 number, since 2×487584032² = 475476376522754048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (487584037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39968 + ... + 50720.

Almost surely, 2^487584032 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 487584032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521676540).

487584032 is an abundant number, since it is smaller than the sum of its proper divisors (555769048).

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

487584032 is a wasteful number, since it uses less digits than its factorization.

487584032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10885 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The square root of 487584032 is about 22081.3050338969. The cubic root of 487584032 is about 787.0756767388.

The spelling of 487584032 in words is "four hundred eighty-seven million, five hundred eighty-four thousand, thirty-two".