284942880 has 192 divisors, whose sum is σ = 1012435200. Its totient is φ = 74833920.

The previous prime is 284942873. The next prime is 284942891. The reversal of 284942880 is 88249482.

It is a happy number.

284942880 is a `hidden beast` number, since 284 + 94 + 288 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306256 + ... + 307184.

It is an arithmetic number, because the mean of its divisors is an integer number (5273100).

Almost surely, 2^284942880 is an apocalyptic number.

284942880 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 284942880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506217600).

284942880 is an abundant number, since it is smaller than the sum of its proper divisors (727492320).

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

284942880 is a wasteful number, since it uses less digits than its factorization.

284942880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 284942880 is about 16880.2511829653. The cubic root of 284942880 is about 658.0404689282.

The spelling of 284942880 in words is "two hundred eighty-four million, nine hundred forty-two thousand, eight hundred eighty".