284460 has 48 divisors (see below), whose sum is σ = 870912. Its totient is φ = 68800.

The previous prime is 284447. The next prime is 284467. The reversal of 284460 is 64482.

284460 = T₉₁ + T₉₂ + ... + T₁₃₄.

It is a self number, because there is not a number n which added to its sum of digits gives 284460.

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

284460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2²⁸⁴⁴⁶⁰ is an apocalyptic number.

284460 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 284460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

284460 is an abundant number, since it is smaller than the sum of its proper divisors (586452).

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

284460 is a wasteful number, since it uses less digits than its factorization.

284460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 284460 is about 533.3479164673. The cubic root of 284460 is about 65.7668541467.

The spelling of 284460 in words is "two hundred eighty-four thousand, four hundred sixty".