487560 has 64 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 121856.

The previous prime is 487507. The next prime is 487561. The reversal of 487560 is 65784.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 487560.

It is not an unprimeable number, because it can be changed into a prime (487561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1921 + ... + 2159.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2⁴⁸⁷⁵⁶⁰ is an apocalyptic number.

487560 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 487560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600).

487560 is an abundant number, since it is smaller than the sum of its proper divisors (1067640).

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

487560 is a wasteful number, since it uses less digits than its factorization.

487560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 487560 is about 698.2549677589. The cubic root of 487560 is about 78.7062745420.

The spelling of 487560 in words is "four hundred eighty-seven thousand, five hundred sixty".