284864 has 14 divisors (see below), whose sum is σ = 565404. Its totient is φ = 142400.

The previous prime is 284857. The next prime is 284881. The reversal of 284864 is 468482.

It is a super-2 number, since 2×284864² = 162294996992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2⁸ + 8² + 8⁴ + 4⁴ + 6⁷ + 4⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 284864.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284864.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2162 + ... + 2289.

It is an arithmetic number, because the mean of its divisors is an integer number (40386).

2²⁸⁴⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

284864 is a deficient number, since it is larger than the sum of its proper divisors (280540).

284864 is an equidigital number, since it uses as much as digits as its factorization.

284864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4453 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 284864 is about 533.7265217319. The cubic root of 284864 is about 65.7979742111.

The spelling of 284864 in words is "two hundred eighty-four thousand, eight hundred sixty-four".