284734720 has 72 divisors (see below), whose sum is σ = 686354760. Its totient is φ = 113172480.

The previous prime is 284734699. The next prime is 284734727. The reversal of 284734720 is 27437482.

It can be written as a sum of positive squares in 4 ways, for example, as 27709696 + 257025024 = 5264^2 + 16032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 284734720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284734727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231066 + ... + 232294.

It is an arithmetic number, because the mean of its divisors is an integer number (9532705).

Almost surely, 2^284734720 is an apocalyptic number.

284734720 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 284734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343177380).

284734720 is an abundant number, since it is smaller than the sum of its proper divisors (401620040).

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

284734720 is a wasteful number, since it uses less digits than its factorization.

284734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 284734720 is about 16874.0842714501. The cubic root of 284734720 is about 657.8801899358.

The spelling of 284734720 in words is "two hundred eighty-four million, seven hundred thirty-four thousand, seven hundred twenty".