284527920 has 160 divisors (see below), whose sum is σ = 919941120. Its totient is φ = 72668160.

The previous prime is 284527883. The next prime is 284527933. The reversal of 284527920 is 29725482.

It is a super-2 number, since 2×284527920² = 161912274519052800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1242366 + ... + 1242594.

It is an arithmetic number, because the mean of its divisors is an integer number (5749632).

Almost surely, 2^284527920 is an apocalyptic number.

284527920 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 284527920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459970560).

284527920 is an abundant number, since it is smaller than the sum of its proper divisors (635413200).

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

284527920 is a wasteful number, since it uses less digits than its factorization.

284527920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 284527920 is about 16867.9554184851. The cubic root of 284527920 is about 657.7208807447.

The spelling of 284527920 in words is "two hundred eighty-four million, five hundred twenty-seven thousand, nine hundred twenty".