487908960 has 384 divisors, whose sum is σ = 1967099904. Its totient is φ = 98703360.

The previous prime is 487908931. The next prime is 487909001. The reversal of 487908960 is 69809784.

It is a happy number.

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, 1589127 + ... + 1589433.

It is an arithmetic number, because the mean of its divisors is an integer number (5122656).

Almost surely, 2^487908960 is an apocalyptic number.

487908960 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 487908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983549952).

487908960 is an abundant number, since it is smaller than the sum of its proper divisors (1479190944).

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

487908960 is a wasteful number, since it uses less digits than its factorization.

487908960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 487908960 is about 22088.6613446809. The cubic root of 487908960 is about 787.2504747363.

The spelling of 487908960 in words is "four hundred eighty-seven million, nine hundred eight thousand, nine hundred sixty".