284199447840 has 384 divisors, whose sum is σ = 1154620293120. Its totient is φ = 57017856000.

The previous prime is 284199447821. The next prime is 284199447841. The reversal of 284199447840 is 48744991482.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (284199447841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 939265 + ... + 1204415.

It is an arithmetic number, because the mean of its divisors is an integer number (3006823680).

Almost surely, 2^284199447840 is an apocalyptic number.

284199447840 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 284199447840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577310146560).

284199447840 is an abundant number, since it is smaller than the sum of its proper divisors (870420845280).

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

284199447840 is a wasteful number, since it uses less digits than its factorization.

284199447840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265216 (or 265208 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 284199447840 in words is "two hundred eighty-four billion, one hundred ninety-nine million, four hundred forty-seven thousand, eight hundred forty".