284021712 has 120 divisors (see below), whose sum is σ = 861939624. Its totient is φ = 86787072.

The previous prime is 284021707. The next prime is 284021713. The reversal of 284021712 is 217120482.

284021712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 97535376 + 186486336 = 9876^2 + 13656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284021713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323418 + ... + 324294.

Almost surely, 2^284021712 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 284021712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430969812).

284021712 is an abundant number, since it is smaller than the sum of its proper divisors (577917912).

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

284021712 is a wasteful number, since it uses less digits than its factorization.

284021712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 284021712 is about 16852.9437191252. The cubic root of 284021712 is about 657.3305954195.

The spelling of 284021712 in words is "two hundred eighty-four million, twenty-one thousand, seven hundred twelve".