284426820 has 72 divisors (see below), whose sum is σ = 865866456. Its totient is φ = 75574272.

The previous prime is 284426819. The next prime is 284426833. The reversal of 284426820 is 28624482.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 169208064 + 115218756 = 13008^2 + 10734^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 50044 + ... + 55436.

It is an arithmetic number, because the mean of its divisors is an integer number (12025923).

Almost surely, 2^284426820 is an apocalyptic number.

284426820 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 284426820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432933228).

284426820 is an abundant number, since it is smaller than the sum of its proper divisors (581439636).

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

284426820 is a wasteful number, since it uses less digits than its factorization.

284426820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5701 (or 5696 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 284426820 is about 16864.9583456349. The cubic root of 284426820 is about 657.6429698687.

The spelling of 284426820 in words is "two hundred eighty-four million, four hundred twenty-six thousand, eight hundred twenty".