284320249920 has 756 divisors, whose sum is σ = 1200847856364. Its totient is φ = 61556060160.

The previous prime is 284320249891. The next prime is 284320249949. The reversal of 284320249920 is 29942023482.

284320249920 is a `hidden beast` number, since 2 + 84 + 320 + 249 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (284320249891) and next prime (284320249949).

It can be written as a sum of positive squares in 2 ways, for example, as 95867021376 + 188453228544 = 309624^2 + 434112^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 50941530 + ... + 50947110.

Almost surely, 2^284320249920 is an apocalyptic number.

284320249920 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 284320249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600423928182).

284320249920 is an abundant number, since it is smaller than the sum of its proper divisors (916527606444).

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

284320249920 is a wasteful number, since it uses less digits than its factorization.

284320249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 284320249920 in words is "two hundred eighty-four billion, three hundred twenty million, two hundred forty-nine thousand, nine hundred twenty".