284472 has 40 divisors (see below), whose sum is σ = 798600. Its totient is φ = 94608.

The previous prime is 284467. The next prime is 284477. The reversal of 284472 is 274482.

It is an interprime number because it is at equal distance from previous prime (284467) and next prime (284477).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 284472.

It is not an unprimeable number, because it can be changed into a prime (284477) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 429 + ... + 867.

It is an arithmetic number, because the mean of its divisors is an integer number (19965).

2²⁸⁴⁴⁷² 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 284472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399300).

284472 is an abundant number, since it is smaller than the sum of its proper divisors (514128).

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

284472 is a wasteful number, since it uses less digits than its factorization.

284472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 444 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 284472 is about 533.3591660410. The cubic root of 284472 is about 65.7677789295.

It can be divided in two parts, 2844 and 72, that added together give a square (2916 = 54²).

The spelling of 284472 in words is "two hundred eighty-four thousand, four hundred seventy-two".