284413312 has 32 divisors (see below), whose sum is σ = 572470920. Its totient is φ = 140734464.

The previous prime is 284413303. The next prime is 284413319. The reversal of 284413312 is 213314482.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284413319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 963 + ... + 23869.

Almost surely, 2^284413312 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 284413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286235460).

284413312 is an abundant number, since it is smaller than the sum of its proper divisors (288057608).

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

284413312 is an equidigital number, since it uses as much as digits as its factorization.

284413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23018 (or 23006 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 284413312 is about 16864.5578655356. The cubic root of 284413312 is about 657.6325587761.

Adding to 284413312 its reverse (213314482), we get a palindrome (497727794).

The spelling of 284413312 in words is "two hundred eighty-four million, four hundred thirteen thousand, three hundred twelve".