284936960 has 288 divisors, whose sum is σ = 883008000. Its totient is φ = 87306240.

The previous prime is 284936959. The next prime is 284936989. The reversal of 284936960 is 69639482.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4829411 + ... + 4829469.

It is an arithmetic number, because the mean of its divisors is an integer number (3066000).

Almost surely, 2^284936960 is an apocalyptic number.

284936960 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 284936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441504000).

284936960 is an abundant number, since it is smaller than the sum of its proper divisors (598071040).

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

284936960 is an equidigital number, since it uses as much as digits as its factorization.

284936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The square root of 284936960 is about 16880.0758292136. The cubic root of 284936960 is about 658.0359117264.

It can be divided in two parts, 28493 and 6960, that added together give a palindrome (35453).

The spelling of 284936960 in words is "two hundred eighty-four million, nine hundred thirty-six thousand, nine hundred sixty".