284280040 has 64 divisors (see below), whose sum is σ = 721872000. Its totient is φ = 99805440.

The previous prime is 284279993. The next prime is 284280041. The reversal of 284280040 is 40082482.

It is a super-2 number, since 2×284280040² = 161630282284803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 284279990 and 284280008.

It is not an unprimeable number, because it can be changed into a prime (284280041) by changing a digit.

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, 1621 + ... + 23899.

It is an arithmetic number, because the mean of its divisors is an integer number (11279250).

Almost surely, 2^284280040 is an apocalyptic number.

284280040 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 284280040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360936000).

284280040 is an abundant number, since it is smaller than the sum of its proper divisors (437591960).

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

284280040 is a wasteful number, since it uses less digits than its factorization.

284280040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22330 (or 22326 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 284280040 is about 16860.6061575496. The cubic root of 284280040 is about 657.5298236652.

The spelling of 284280040 in words is "two hundred eighty-four million, two hundred eighty thousand, forty".