284364 has 24 divisors (see below), whose sum is σ = 737520. Its totient is φ = 94752.

The previous prime is 284357. The next prime is 284369. The reversal of 284364 is 463482.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284364.

It is not an unprimeable number, because it can be changed into a prime (284369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1209 + ... + 1424.

It is an arithmetic number, because the mean of its divisors is an integer number (30730).

2²⁸⁴³⁶⁴ is an apocalyptic number.

It is an amenable number.

284364 is an abundant number, since it is smaller than the sum of its proper divisors (453156).

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

284364 is a wasteful number, since it uses less digits than its factorization.

284364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2638 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 284364 is about 533.2579113337. The cubic root of 284364 is about 65.7594549478.

The spelling of 284364 in words is "two hundred eighty-four thousand, three hundred sixty-four".