284938980 has 96 divisors (see below), whose sum is σ = 827904000. Its totient is φ = 73146240.

The previous prime is 284938943. The next prime is 284939009. The reversal of 284938980 is 89839482.

It is a happy 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, 570771 + ... + 571269.

It is an arithmetic number, because the mean of its divisors is an integer number (8624000).

Almost surely, 2^284938980 is an apocalyptic number.

284938980 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 284938980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413952000).

284938980 is an abundant number, since it is smaller than the sum of its proper divisors (542965020).

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

284938980 is a wasteful number, since it uses less digits than its factorization.

284938980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 284938980 is about 16880.1356629620. The cubic root of 284938980 is about 658.0374667247.

It can be divided in two parts, 28493 and 8980, that added together give a palindrome (37473).

The spelling of 284938980 in words is "two hundred eighty-four million, nine hundred thirty-eight thousand, nine hundred eighty".