487968 has 96 divisors (see below), whose sum is σ = 1524096. Its totient is φ = 135168.

The previous prime is 487943. The next prime is 487973. The reversal of 487968 is 869784.

It is a happy number.

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

It is a super-2 number, since 2×487968² = 476225538048, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21205 + ... + 21227.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

2⁴⁸⁷⁹⁶⁸ is an apocalyptic number.

487968 is a gapful number since it is divisible by the number (48) 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 487968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048).

487968 is an abundant number, since it is smaller than the sum of its proper divisors (1036128).

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

487968 is a wasteful number, since it uses less digits than its factorization.

487968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 58 counting only the distinct ones).

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

The square root of 487968 is about 698.5470635541. The cubic root of 487968 is about 78.7282227513.

The spelling of 487968 in words is "four hundred eighty-seven thousand, nine hundred sixty-eight".