284960417280 has 1920 divisors, whose sum is σ = 1252665824256. Its totient is φ = 54499737600.

The previous prime is 284960417227. The next prime is 284960417309. The reversal of 284960417280 is 82714069482.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3903567324 + ... + 3903567396.

Almost surely, 2^284960417280 is an apocalyptic number.

284960417280 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 284960417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626332912128).

284960417280 is an abundant number, since it is smaller than the sum of its proper divisors (967705406976).

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

284960417280 is a wasteful number, since it uses less digits than its factorization.

284960417280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 284960417280 in words is "two hundred eighty-four billion, nine hundred sixty million, four hundred seventeen thousand, two hundred eighty".