284430144 has 112 divisors (see below), whose sum is σ = 812718720. Its totient is φ = 87521280.

The previous prime is 284430131. The next prime is 284430151. The reversal of 284430144 is 441034482.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 126954 + ... + 129174.

Almost surely, 2^284430144 is an apocalyptic number.

284430144 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 284430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406359360).

284430144 is an abundant number, since it is smaller than the sum of its proper divisors (528288576).

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

284430144 is a wasteful number, since it uses less digits than its factorization.

284430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 284430144 is about 16865.0568928777. The cubic root of 284430144 is about 657.6455317424.

The spelling of 284430144 in words is "two hundred eighty-four million, four hundred thirty thousand, one hundred forty-four".