487861632 has 192 divisors, whose sum is σ = 1527552000. Its totient is φ = 148884480.

The previous prime is 487861607. The next prime is 487861637. The reversal of 487861632 is 236168784.

487861632 is a `hidden beast` number, since 4 + 8 + 7 + 8 + 6 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487861637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678169 + ... + 678887.

It is an arithmetic number, because the mean of its divisors is an integer number (7956000).

Almost surely, 2^487861632 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 487861632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763776000).

487861632 is an abundant number, since it is smaller than the sum of its proper divisors (1039690368).

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

487861632 is a wasteful number, since it uses less digits than its factorization.

487861632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 774 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 487861632 is about 22087.5899998166. The cubic root of 487861632 is about 787.2250190343.

The spelling of 487861632 in words is "four hundred eighty-seven million, eight hundred sixty-one thousand, six hundred thirty-two".