487807680 has 112 divisors (see below), whose sum is σ = 1560515040. Its totient is φ = 129097728.

The previous prime is 487807651. The next prime is 487807687. The reversal of 487807680 is 86708784.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (487807687) by changing a digit.

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, 129666 + ... + 133374.

It is an arithmetic number, because the mean of its divisors is an integer number (13933170).

Almost surely, 2^487807680 is an apocalyptic number.

487807680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780257520).

487807680 is an abundant number, since it is smaller than the sum of its proper divisors (1072707360).

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

487807680 is a wasteful number, since it uses less digits than its factorization.

487807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 487807680 is about 22086.3686467468. The cubic root of 487807680 is about 787.1959985585.

The spelling of 487807680 in words is "four hundred eighty-seven million, eight hundred seven thousand, six hundred eighty".