284145216 has 56 divisors (see below), whose sum is σ = 753648480. Its totient is φ = 94482432.

The previous prime is 284145193. The next prime is 284145217. The reversal of 284145216 is 612541482.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (284145217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88080 + ... + 91248.

Almost surely, 2^284145216 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 284145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376824240).

284145216 is an abundant number, since it is smaller than the sum of its proper divisors (469503264).

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

284145216 is a wasteful number, since it uses less digits than its factorization.

284145216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3641 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 284145216 is about 16856.6074878666. The cubic root of 284145216 is about 657.4258594904.

Adding to 284145216 its reverse (612541482), we get a palindrome (896686698).

The spelling of 284145216 in words is "two hundred eighty-four million, one hundred forty-five thousand, two hundred sixteen".