487008 has 72 divisors (see below), whose sum is σ = 1474200. Its totient is φ = 152064.

The previous prime is 487007. The next prime is 487013. The reversal of 487008 is 800784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5428 + ... + 5516.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2⁴⁸⁷⁰⁰⁸ is an apocalyptic number.

487008 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 487008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737100).

487008 is an abundant number, since it is smaller than the sum of its proper divisors (987192).

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

487008 is a wasteful number, since it uses less digits than its factorization.

487008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 487008 is about 697.8595847303. The cubic root of 487008 is about 78.6765604078.

It can be divided in two parts, 48 and 7008, that added together give a square (7056 = 84²).

The spelling of 487008 in words is "four hundred eighty-seven thousand, eight".