284203140 has 192 divisors, whose sum is σ = 915210240. Its totient is φ = 65318400.

The previous prime is 284203109. The next prime is 284203141. The reversal of 284203140 is 41302482.

It is a self number, because there is not a number n which added to its sum of digits gives 284203140.

It is not an unprimeable number, because it can be changed into a prime (284203141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1882065 + ... + 1882215.

It is an arithmetic number, because the mean of its divisors is an integer number (4766720).

Almost surely, 2^284203140 is an apocalyptic number.

284203140 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 284203140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457605120).

284203140 is an abundant number, since it is smaller than the sum of its proper divisors (631007100).

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

284203140 is a wasteful number, since it uses less digits than its factorization.

284203140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 284203140 is about 16858.3255396258. The cubic root of 284203140 is about 657.4705293118.

The spelling of 284203140 in words is "two hundred eighty-four million, two hundred three thousand, one hundred forty".