284940 has 36 divisors (see below), whose sum is σ = 864864. Its totient is φ = 75936.

The previous prime is 284927. The next prime is 284957. The reversal of 284940 is 49482.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×284940³ = 69403522733352000, which contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284940.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (24024).

2²⁸⁴⁹⁴⁰ is an apocalyptic number.

284940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284940 is an abundant number, since it is smaller than the sum of its proper divisors (579924).

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

284940 is a wasteful number, since it uses less digits than its factorization.

284940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 284940 is about 533.7977144949. The cubic root of 284940 is about 65.8038251919.

The spelling of 284940 in words is "two hundred eighty-four thousand, nine hundred forty".