284721840 has 240 divisors, whose sum is σ = 1084618080. Its totient is φ = 66355200.

The previous prime is 284721809. The next prime is 284721863. The reversal of 284721840 is 48127482.

284721840 is a `hidden beast` number, since 2 + 8 + 472 + 184 + 0 = 666.

284721840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 284721795 and 284721804.

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 47 ways as a sum of consecutive naturals, for example, 177040 + ... + 178640.

It is an arithmetic number, because the mean of its divisors is an integer number (4519242).

Almost surely, 2^284721840 is an apocalyptic number.

284721840 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 284721840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542309040).

284721840 is an abundant number, since it is smaller than the sum of its proper divisors (799896240).

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

284721840 is a wasteful number, since it uses less digits than its factorization.

284721840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 284721840 is about 16873.7026167940. The cubic root of 284721840 is about 657.8702700302.

The spelling of 284721840 in words is "two hundred eighty-four million, seven hundred twenty-one thousand, eight hundred forty".