284960 has 48 divisors (see below), whose sum is σ = 730296. Its totient is φ = 104448.

The previous prime is 284957. The next prime is 284969. The reversal of 284960 is 69482.

284960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 190096 + 94864 = 436^2 + 308^2 .

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 284960.

It is not an unprimeable number, because it can be changed into a prime (284969) 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, 2012 + ... + 2148.

2²⁸⁴⁹⁶⁰ is an apocalyptic number.

284960 is a gapful number since it is divisible by the number (20) 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 284960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365148).

284960 is an abundant number, since it is smaller than the sum of its proper divisors (445336).

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

284960 is a wasteful number, since it uses less digits than its factorization.

284960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 284960 is about 533.8164478545. The cubic root of 284960 is about 65.8053647508.

The spelling of 284960 in words is "two hundred eighty-four thousand, nine hundred sixty".