284490 has 48 divisors (see below), whose sum is σ = 772200. Its totient is φ = 72576.

The previous prime is 284489. The next prime is 284507. The reversal of 284490 is 94482.

It can be written as a sum of positive squares in 4 ways, for example, as 251001 + 33489 = 501^2 + 183^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2556 + ... + 2664.

2²⁸⁴⁴⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386100).

284490 is an abundant number, since it is smaller than the sum of its proper divisors (487710).

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

284490 is a wasteful number, since it uses less digits than its factorization.

284490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 284490 is about 533.3760399568. The cubic root of 284490 is about 65.7691660550.

The spelling of 284490 in words is "two hundred eighty-four thousand, four hundred ninety".