487968000 has 576 divisors, whose sum is σ = 1928489472. Its totient is φ = 108134400.

The previous prime is 487967981. The next prime is 487968001. The reversal of 487968000 is 869784.

It is a happy number.

It is a super-2 number, since 2×487968000² = 476225538048000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487968001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21215989 + ... + 21216011.

It is an arithmetic number, because the mean of its divisors is an integer number (3348072).

Almost surely, 2^487968000 is an apocalyptic number.

487968000 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 487968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964244736).

487968000 is an abundant number, since it is smaller than the sum of its proper divisors (1440521472).

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

487968000 is a wasteful number, since it uses less digits than its factorization.

487968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 487968000 is about 22089.9977365323. The cubic root of 487968000 is about 787.2822275134.

The spelling of 487968000 in words is "four hundred eighty-seven million, nine hundred sixty-eight thousand".