284464 has 20 divisors (see below), whose sum is σ = 575856. Its totient is φ = 135872.

The previous prime is 284447. The next prime is 284467. The reversal of 284464 is 464482.

It is a d-powerful number, because it can be written as 2⁵ + 8³ + 4⁶ + 4⁷ + 6⁴ + 4⁹ .

It is not an unprimeable number, because it can be changed into a prime (284467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19 + ... + 754.

2²⁸⁴⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

284464 is an abundant number, since it is smaller than the sum of its proper divisors (291392).

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

284464 is a wasteful number, since it uses less digits than its factorization.

284464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 284464 is about 533.3516663516. The cubic root of 284464 is about 65.7671624105.

The spelling of 284464 in words is "two hundred eighty-four thousand, four hundred sixty-four".