284495016960 has 1760 divisors, whose sum is σ = 1301129533440. Its totient is φ = 57729024000.

The previous prime is 284495016959. The next prime is 284495016989. The reversal of 284495016960 is 69610594482.

284495016960 is a `hidden beast` number, since 2 + 8 + 4 + 49 + 501 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 284495016897 and 284495016906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1884072885 + ... + 1884073035.

It is an arithmetic number, because the mean of its divisors is an integer number (739278144).

Almost surely, 2^284495016960 is an apocalyptic number.

284495016960 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 284495016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650564766720).

284495016960 is an abundant number, since it is smaller than the sum of its proper divisors (1016634516480).

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

284495016960 is a wasteful number, since it uses less digits than its factorization.

284495016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 284495016960 in words is "two hundred eighty-four billion, four hundred ninety-five million, sixteen thousand, nine hundred sixty".