284952 has 32 divisors (see below), whose sum is σ = 737280. Its totient is φ = 91680.

The previous prime is 284927. The next prime is 284957. The reversal of 284952 is 259482.

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 284952.

It is not an unprimeable number, because it can be changed into a prime (284957) by changing a digit.

284952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 553 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (23040).

2²⁸⁴⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368640).

284952 is an abundant number, since it is smaller than the sum of its proper divisors (452328).

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

284952 is a wasteful number, since it uses less digits than its factorization.

284952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 284952 is about 533.8089545896. The cubic root of 284952 is about 65.8047489359.

The spelling of 284952 in words is "two hundred eighty-four thousand, nine hundred fifty-two".