284274840960 has 384 divisors, whose sum is σ = 1105428280320. Its totient is φ = 66691584000.

The previous prime is 284274840947. The next prime is 284274841009. The reversal of 284274840960 is 69048472482.

284274840960 is a `hidden beast` number, since 2 + 84 + 27 + 484 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 284274840897 and 284274840906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1891795 + ... + 2036525.

It is an arithmetic number, because the mean of its divisors is an integer number (2878719480).

Almost surely, 2^284274840960 is an apocalyptic number.

284274840960 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 284274840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552714140160).

284274840960 is an abundant number, since it is smaller than the sum of its proper divisors (821153439360).

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

284274840960 is a wasteful number, since it uses less digits than its factorization.

284274840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144798 (or 144783 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 284274840960 in words is "two hundred eighty-four billion, two hundred seventy-four million, eight hundred forty thousand, nine hundred sixty".