284421420360 has 1792 divisors, whose sum is σ = 1291873536000. Its totient is φ = 54553927680.

The previous prime is 284421420289. The next prime is 284421420407. The reversal of 284421420360 is 63024124482.

284421420360 is a `hidden beast` number, since 2 + 8 + 442 + 1 + 4 + 203 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 2517003664 + ... + 2517003776.

Almost surely, 2^284421420360 is an apocalyptic number.

284421420360 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 284421420360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645936768000).

284421420360 is an abundant number, since it is smaller than the sum of its proper divisors (1007452115640).

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

284421420360 is a wasteful number, since it uses less digits than its factorization.

284421420360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 284421420360 in words is "two hundred eighty-four billion, four hundred twenty-one million, four hundred twenty thousand, three hundred sixty".