487927584 has 96 divisors (see below), whose sum is σ = 1461680640. Its totient is φ = 158236416.

The previous prime is 487927553. The next prime is 487927603. The reversal of 487927584 is 485729784.

It is a happy number.

487927584 is a `hidden beast` number, since 487 + 92 + 75 + 8 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 487927584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24337 + ... + 39599.

It is an arithmetic number, because the mean of its divisors is an integer number (15225840).

Almost surely, 2^487927584 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 487927584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730840320).

487927584 is an abundant number, since it is smaller than the sum of its proper divisors (973753056).

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

487927584 is a wasteful number, since it uses less digits than its factorization.

487927584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15319 (or 15305 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 487927584 is about 22089.0829144172. The cubic root of 487927584 is about 787.2604913360.

The spelling of 487927584 in words is "four hundred eighty-seven million, nine hundred twenty-seven thousand, five hundred eighty-four".