284605042960 has 160 divisors (see below), whose sum is σ = 763905035520. Its totient is φ = 96591108096.

The previous prime is 284605042951. The next prime is 284605043017. The reversal of 284605042960 is 69240506482.

It is a self number, because there is not a number n which added to its sum of digits gives 284605042960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101752282 + ... + 101755078.

It is an arithmetic number, because the mean of its divisors is an integer number (4774406472).

Almost surely, 2^284605042960 is an apocalyptic number.

284605042960 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 284605042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381952517760).

284605042960 is an abundant number, since it is smaller than the sum of its proper divisors (479299992560).

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

284605042960 is a wasteful number, since it uses less digits than its factorization.

284605042960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4593 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 284605042960 in words is "two hundred eighty-four billion, six hundred five million, forty-two thousand, nine hundred sixty".