284430960 has 160 divisors (see below), whose sum is σ = 1068860160. Its totient is φ = 68947200.

The previous prime is 284430953. The next prime is 284430977. The reversal of 284430960 is 69034482.

It is a happy number.

284430960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 17775 + ... + 29745.

It is an arithmetic number, because the mean of its divisors is an integer number (6680376).

Almost surely, 2^284430960 is an apocalyptic number.

284430960 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 284430960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534430080).

284430960 is an abundant number, since it is smaller than the sum of its proper divisors (784429200).

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

284430960 is a wasteful number, since it uses less digits than its factorization.

284430960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12004 (or 11992 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 284430960 is about 16865.0810848925. The cubic root of 284430960 is about 657.6461606469.

It can be divided in two parts, 284430 and 960, that added together give a triangular number (285390 = T₇₅₅).

The spelling of 284430960 in words is "two hundred eighty-four million, four hundred thirty thousand, nine hundred sixty".