284480 has 56 divisors (see below), whose sum is σ = 780288. Its totient is φ = 96768.

The previous prime is 284477. The next prime is 284483. The reversal of 284480 is 84482.

284480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (284477) and next prime (284483).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284483) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2177 + ... + 2303.

2²⁸⁴⁴⁸⁰ is an apocalyptic number.

284480 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 284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390144).

284480 is an abundant number, since it is smaller than the sum of its proper divisors (495808).

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

284480 is a wasteful number, since it uses less digits than its factorization.

284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 284480 is about 533.3666656251. The cubic root of 284480 is about 65.7683954369.

The spelling of 284480 in words is "two hundred eighty-four thousand, four hundred eighty".