284974848 has 144 divisors (see below), whose sum is σ = 854800800. Its totient is φ = 94804992.

The previous prime is 284974843. The next prime is 284974871. The reversal of 284974848 is 848479482.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 284974794 and 284974803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284974841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 559618 + ... + 560126.

Almost surely, 2^284974848 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 284974848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427400400).

284974848 is an abundant number, since it is smaller than the sum of its proper divisors (569825952).

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

284974848 is an frugal number, since it uses more digits than its factorization.

284974848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 514 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 284974848 is about 16881.1980617491. The cubic root of 284974848 is about 658.0650767268.

The spelling of 284974848 in words is "two hundred eighty-four million, nine hundred seventy-four thousand, eight hundred forty-eight".