284240 has 80 divisors (see below), whose sum is σ = 803520. Its totient is φ = 92160.

The previous prime is 284237. The next prime is 284243. The reversal of 284240 is 42482.

It is an interprime number because it is at equal distance from previous prime (284237) and next prime (284243).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284243) 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 15 ways as a sum of consecutive naturals, for example, 14951 + ... + 14969.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2²⁸⁴²⁴⁰ is an apocalyptic number.

284240 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 284240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760).

284240 is an abundant number, since it is smaller than the sum of its proper divisors (519280).

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

284240 is a wasteful number, since it uses less digits than its factorization.

284240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 284240 is about 533.1416322142. The cubic root of 284240 is about 65.7498951841.

It can be divided in two parts, 2842 and 40, that added together give a palindrome (2882).

The spelling of 284240 in words is "two hundred eighty-four thousand, two hundred forty".