284472512249800 has 192 divisors, whose sum is σ = 757280846995200. Its totient is φ = 97353261465600.

The previous prime is 284472512249687. The next prime is 284472512249801. The reversal of 284472512249800 is 8942215274482.

It is a super-2 number, since 2×284472512249800² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (284472512249801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5911830141 + ... + 5911878259.

It is an arithmetic number, because the mean of its divisors is an integer number (3944171078100).

Almost surely, 2^{284472512249800} is an apocalyptic number.

284472512249800 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 284472512249800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378640423497600).

284472512249800 is an abundant number, since it is smaller than the sum of its proper divisors (472808334745400).

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

284472512249800 is a wasteful number, since it uses less digits than its factorization.

284472512249800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55856 (or 55847 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 58.

The spelling of 284472512249800 in words is "two hundred eighty-four trillion, four hundred seventy-two billion, five hundred twelve million, two hundred forty-nine thousand, eight hundred".