284416 has 36 divisors (see below), whose sum is σ = 625464. Its totient is φ = 128000.

The previous prime is 284413. The next prime is 284423. The reversal of 284416 is 614482.

It is a super-2 number, since 2×284416² = 161784922112, which contains 22 as substring.

Its product of digits (1536) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2766 + ... + 2866.

It is an arithmetic number, because the mean of its divisors is an integer number (17374).

2²⁸⁴⁴¹⁶ 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 284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312732).

284416 is an abundant number, since it is smaller than the sum of its proper divisors (341048).

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

284416 is a wasteful number, since it uses less digits than its factorization.

284416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 284416 is about 533.3066660000. The cubic root of 284416 is about 65.7634630539.

Adding to 284416 its reverse (614482), we get a palindrome (898898).

It can be divided in two parts, 28 and 4416, that added together give a palindrome (4444).

The spelling of 284416 in words is "two hundred eighty-four thousand, four hundred sixteen".