487600 has 60 divisors (see below), whose sum is σ = 1245456. Its totient is φ = 183040.

The previous prime is 487589. The next prime is 487601. The reversal of 487600 is 6784.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (487601) 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, 9174 + ... + 9226.

2⁴⁸⁷⁶⁰⁰ is an apocalyptic number.

487600 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 487600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622728).

487600 is an abundant number, since it is smaller than the sum of its proper divisors (757856).

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

487600 is a wasteful number, since it uses less digits than its factorization.

487600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 487600 is about 698.2836100038. The cubic root of 487600 is about 78.7084268685.

The spelling of 487600 in words is "four hundred eighty-seven thousand, six hundred".