284049920 has 240 divisors, whose sum is σ = 862069824. Its totient is φ = 87859200.

The previous prime is 284049919. The next prime is 284049937. The reversal of 284049920 is 29940482.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2168255 + ... + 2168385.

Almost surely, 2^284049920 is an apocalyptic number.

284049920 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 284049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431034912).

284049920 is an abundant number, since it is smaller than the sum of its proper divisors (578019904).

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

284049920 is a wasteful number, since it uses less digits than its factorization.

284049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 284049920 is about 16853.7805847828. The cubic root of 284049920 is about 657.3523559245.

The spelling of 284049920 in words is "two hundred eighty-four million, forty-nine thousand, nine hundred twenty".