284668040 has 64 divisors (see below), whose sum is σ = 665487360. Its totient is φ = 109474560.

The previous prime is 284668019. The next prime is 284668063. The reversal of 284668040 is 40866482.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 284667985 and 284668003.

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 15 ways as a sum of consecutive naturals, for example, 213857 + ... + 215183.

It is an arithmetic number, because the mean of its divisors is an integer number (10398240).

Almost surely, 2^284668040 is an apocalyptic number.

284668040 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 284668040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332743680).

284668040 is an abundant number, since it is smaller than the sum of its proper divisors (380819320).

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

284668040 is a wasteful number, since it uses less digits than its factorization.

284668040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 284668040 is about 16872.1083448394. The cubic root of 284668040 is about 657.8288311647.

The spelling of 284668040 in words is "two hundred eighty-four million, six hundred sixty-eight thousand, forty".