487520 has 48 divisors (see below), whose sum is σ = 1261008. Its totient is φ = 176640.

The previous prime is 487507. The next prime is 487561. The reversal of 487520 is 25784.

487520 is nontrivially palindromic in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 487520.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 487520.

It is an unprimeable number.

487520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1622 + ... + 1898.

It is an arithmetic number, because the mean of its divisors is an integer number (26271).

2⁴⁸⁷⁵²⁰ is an apocalyptic number.

487520 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 487520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630504).

487520 is an abundant number, since it is smaller than the sum of its proper divisors (773488).

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

487520 is a wasteful number, since it uses less digits than its factorization.

487520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 487520 is about 698.2263243390. The cubic root of 487520 is about 78.7041220978.

The spelling of 487520 in words is "four hundred eighty-seven thousand, five hundred twenty".