284740224 has 64 divisors (see below), whose sum is σ = 761319840. Its totient is φ = 94288896.

The previous prime is 284740153. The next prime is 284740231. The reversal of 284740224 is 422047482.

284740224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 57927 + ... + 62649.

Almost surely, 2^284740224 is an apocalyptic number.

284740224 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 284740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380659920).

284740224 is an abundant number, since it is smaller than the sum of its proper divisors (476579616).

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

284740224 is a wasteful number, since it uses less digits than its factorization.

284740224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4897 (or 4885 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 284740224 is about 16874.2473609936. The cubic root of 284740224 is about 657.8844289098.

It can be divided in two parts, 2847 and 40224, that added together give a triangular number (43071 = T₂₉₃).

The spelling of 284740224 in words is "two hundred eighty-four million, seven hundred forty thousand, two hundred twenty-four".