284224160 has 144 divisors (see below), whose sum is σ = 754713288. Its totient is φ = 101038080.

The previous prime is 284224159. The next prime is 284224183. The reversal of 284224160 is 61422482.

It can be written as a sum of positive squares in 4 ways, for example, as 212110096 + 72114064 = 14564^2 + 8492^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1025942 + ... + 1026218.

Almost surely, 2^284224160 is an apocalyptic number.

284224160 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 284224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377356644).

284224160 is an abundant number, since it is smaller than the sum of its proper divisors (470489128).

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

284224160 is a wasteful number, since it uses less digits than its factorization.

284224160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 284224160 is about 16858.9489589357. The cubic root of 284224160 is about 657.4867380112.

The spelling of 284224160 in words is "two hundred eighty-four million, two hundred twenty-four thousand, one hundred sixty".