284376960 has 256 divisors, whose sum is σ = 1151539200. Its totient is φ = 64972800.

The previous prime is 284376947. The next prime is 284376977. The reversal of 284376960 is 69673482.

284376960 = T₆₁ + T₆₂ + ... + T₁₁₉₄.

284376960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 119785 + ... + 122135.

It is an arithmetic number, because the mean of its divisors is an integer number (4498200).

Almost surely, 2^284376960 is an apocalyptic number.

284376960 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 284376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575769600).

284376960 is an abundant number, since it is smaller than the sum of its proper divisors (867162240).

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

284376960 is a wasteful number, since it uses less digits than its factorization.

284376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 284376960 is about 16863.4800678863. The cubic root of 284376960 is about 657.6045393687.

The spelling of 284376960 in words is "two hundred eighty-four million, three hundred seventy-six thousand, nine hundred sixty".