487743984 has 320 divisors, whose sum is σ = 1816550400. Its totient is φ = 121678848.

The previous prime is 487743961. The next prime is 487744007. The reversal of 487743984 is 489347784.

487743984 is a `hidden beast` number, since 487 + 74 + 3 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (487743961) and next prime (487744007).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 487743984.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 746602 + ... + 747254.

It is an arithmetic number, because the mean of its divisors is an integer number (5676720).

Almost surely, 2^487743984 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 487743984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908275200).

487743984 is an abundant number, since it is smaller than the sum of its proper divisors (1328806416).

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

487743984 is a wasteful number, since it uses less digits than its factorization.

487743984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 697 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 487743984 is about 22084.9266242838. The cubic root of 487743984 is about 787.1617340858.

The spelling of 487743984 in words is "four hundred eighty-seven million, seven hundred forty-three thousand, nine hundred eighty-four".