284201856 has 192 divisors, whose sum is σ = 868795200. Its totient is φ = 89026560.

The previous prime is 284201849. The next prime is 284201857. The reversal of 284201856 is 658102482.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 284201856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284201857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1570086 + ... + 1570266.

It is an arithmetic number, because the mean of its divisors is an integer number (4524975).

Almost surely, 2^284201856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284201856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434397600).

284201856 is an abundant number, since it is smaller than the sum of its proper divisors (584593344).

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

284201856 is a wasteful number, since it uses less digits than its factorization.

284201856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 284201856 is about 16858.2874575088. The cubic root of 284201856 is about 657.4695391826.

It can be divided in two parts, 28420 and 1856, that added together give a square (30276 = 174²).

The spelling of 284201856 in words is "two hundred eighty-four million, two hundred one thousand, eight hundred fifty-six".