284448 has 24 divisors (see below), whose sum is σ = 746928. Its totient is φ = 94784.

The previous prime is 284447. The next prime is 284467. The reversal of 284448 is 844482.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (284447) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1386 + ... + 1577.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2²⁸⁴⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

284448 is an abundant number, since it is smaller than the sum of its proper divisors (462480).

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

284448 is a wasteful number, since it uses less digits than its factorization.

284448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2968 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 284448 is about 533.3366666563. The cubic root of 284448 is about 65.7659293379.

The spelling of 284448 in words is "two hundred eighty-four thousand, four hundred forty-eight".