284560 has 20 divisors (see below), whose sum is σ = 661788. Its totient is φ = 113792.

The previous prime is 284551. The next prime is 284561. The reversal of 284560 is 65482.

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 219024 = 256^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (284561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1699 + ... + 1858.

2²⁸⁴⁵⁶⁰ is an apocalyptic number.

284560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284560 is an abundant number, since it is smaller than the sum of its proper divisors (377228).

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

284560 is a wasteful number, since it uses less digits than its factorization.

284560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 284560 is about 533.4416556663. The cubic root of 284560 is about 65.7745598756.

The spelling of 284560 in words is "two hundred eighty-four thousand, five hundred sixty".