284829820 has 48 divisors (see below), whose sum is σ = 654177888. Its totient is φ = 103311360.

The previous prime is 284829761. The next prime is 284829821. The reversal of 284829820 is 28928482.

It is a happy number.

It is a super-2 number, since 2×284829820² = 162256052722464800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284829821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99124 + ... + 101956.

It is an arithmetic number, because the mean of its divisors is an integer number (13628706).

Almost surely, 2^284829820 is an apocalyptic number.

284829820 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 284829820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327088944).

284829820 is an abundant number, since it is smaller than the sum of its proper divisors (369348068).

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

284829820 is a wasteful number, since it uses less digits than its factorization.

284829820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 284829820 is about 16876.9019668895. The cubic root of 284829820 is about 657.9534247020.

The spelling of 284829820 in words is "two hundred eighty-four million, eight hundred twenty-nine thousand, eight hundred twenty".