284968320 has 384 divisors, whose sum is σ = 1142799840. Its totient is φ = 59867136.

The previous prime is 284968319. The next prime is 284968351. The reversal of 284968320 is 23869482.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1222924 + ... + 1223156.

Almost surely, 2^284968320 is an apocalyptic number.

284968320 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 284968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571399920).

284968320 is an abundant number, since it is smaller than the sum of its proper divisors (857831520).

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

284968320 is a wasteful number, since it uses less digits than its factorization.

284968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 284968320 is about 16881.0047094360. The cubic root of 284968320 is about 658.0600518604.

The spelling of 284968320 in words is "two hundred eighty-four million, nine hundred sixty-eight thousand, three hundred twenty".