284846820 has 96 divisors (see below), whose sum is σ = 816614400. Its totient is φ = 74165760.

The previous prime is 284846813. The next prime is 284846833. The reversal of 284846820 is 28648482.

It is a super-2 number, since 2×284846820² = 162275421728224800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816006 + ... + 816354.

It is an arithmetic number, because the mean of its divisors is an integer number (8506400).

Almost surely, 2^284846820 is an apocalyptic number.

284846820 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 284846820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408307200).

284846820 is an abundant number, since it is smaller than the sum of its proper divisors (531767580).

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

284846820 is a wasteful number, since it uses less digits than its factorization.

284846820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 284846820 is about 16877.4056063128. The cubic root of 284846820 is about 657.9665143727.

The spelling of 284846820 in words is "two hundred eighty-four million, eight hundred forty-six thousand, eight hundred twenty".