487784 has 32 divisors (see below), whose sum is σ = 1045440. Its totient is φ = 211200.

The previous prime is 487783. The next prime is 487789.

487784 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (487783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1904 + ... + 2144.

It is an arithmetic number, because the mean of its divisors is an integer number (32670).

2⁴⁸⁷⁷⁸⁴ is an apocalyptic number.

487784 is a gapful number since it is divisible by the number (44) 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 487784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522720).

487784 is an abundant number, since it is smaller than the sum of its proper divisors (557656).

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

487784 is a wasteful number, since it uses less digits than its factorization.

487784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its digits is 50176, while the sum is 38.

The square root of 487784 is about 698.4153492013. The cubic root of 487784 is about 78.7183260545.

It can be divided in two parts, 48778 and 4, that multiplied together give a cube (195112 = 58³).

The spelling of 487784 in words is "four hundred eighty-seven thousand, seven hundred eighty-four".