284760960 has 256 divisors, whose sum is σ = 1007596800. Its totient is φ = 67829760.

The previous prime is 284760937. The next prime is 284760967. The reversal of 284760960 is 69067482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284760967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2048571 + ... + 2048709.

It is an arithmetic number, because the mean of its divisors is an integer number (3935925).

Almost surely, 2^284760960 is an apocalyptic number.

284760960 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 284760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503798400).

284760960 is an abundant number, since it is smaller than the sum of its proper divisors (722835840).

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

284760960 is a wasteful number, since it uses less digits than its factorization.

284760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 284760960 is about 16874.8617772117. The cubic root of 284760960 is about 657.9003985073.

The spelling of 284760960 in words is "two hundred eighty-four million, seven hundred sixty thousand, nine hundred sixty".