284046080 has 108 divisors (see below), whose sum is σ = 702236640. Its totient is φ = 110063616.

The previous prime is 284046071. The next prime is 284046131. The reversal of 284046080 is 80640482.

284046080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 3595481 + ... + 3595559.

Almost surely, 2^284046080 is an apocalyptic number.

284046080 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 284046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351118320).

284046080 is an abundant number, since it is smaller than the sum of its proper divisors (418190560).

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

284046080 is an frugal number, since it uses more digits than its factorization.

284046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 284046080 is about 16853.6666633703. Note that the first 5 decimals coincide. The cubic root of 284046080 is about 657.3493937170.

The spelling of 284046080 in words is "two hundred eighty-four million, forty-six thousand, eighty".