284046048 has 384 divisors, whose sum is σ = 1032998400. Its totient is φ = 75271680.

The previous prime is 284046023. The next prime is 284046053. The reversal of 284046048 is 840640482.

284046048 is a `hidden beast` number, since 2 + 8 + 40 + 4 + 604 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14949783 + ... + 14949801.

It is an arithmetic number, because the mean of its divisors is an integer number (2690100).

Almost surely, 2^284046048 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 284046048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516499200).

284046048 is an abundant number, since it is smaller than the sum of its proper divisors (748952352).

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

284046048 is a wasteful number, since it uses less digits than its factorization.

284046048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 284046048 is about 16853.6657140220. The cubic root of 284046048 is about 657.3493690318.

The spelling of 284046048 in words is "two hundred eighty-four million, forty-six thousand, forty-eight".