487668000 has 96 divisors (see below), whose sum is σ = 1597639680. Its totient is φ = 130041600.

The previous prime is 487667989. The next prime is 487668047. The reversal of 487668000 is 866784.

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

It is a self number, because there is not a number n which added to its sum of digits gives 487668000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8320 + ... + 32319.

It is an arithmetic number, because the mean of its divisors is an integer number (16642080).

Almost surely, 2^487668000 is an apocalyptic number.

487668000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

487668000 is an abundant number, since it is smaller than the sum of its proper divisors (1109971680).

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

487668000 is a wasteful number, since it uses less digits than its factorization.

487668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40667 (or 40649 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 487668000 is about 22083.2062889427. The cubic root of 487668000 is about 787.1208555338.

The spelling of 487668000 in words is "four hundred eighty-seven million, six hundred sixty-eight thousand".