284939424 has 192 divisors, whose sum is σ = 1036385280. Its totient is φ = 73992960.

The previous prime is 284939423. The next prime is 284939429. The reversal of 284939424 is 424939482.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 284939424.

It is not an unprimeable number, because it can be changed into a prime (284939423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64387 + ... + 68669.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2^284939424 is an apocalyptic number.

284939424 is a gapful number since it is divisible by the number (24) 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 284939424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518192640).

284939424 is an abundant number, since it is smaller than the sum of its proper divisors (751445856).

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

284939424 is a wasteful number, since it uses less digits than its factorization.

284939424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4306 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 284939424 is about 16880.1488145099. The cubic root of 284939424 is about 658.0378085154.

The spelling of 284939424 in words is "two hundred eighty-four million, nine hundred thirty-nine thousand, four hundred twenty-four".