284580132 has 48 divisors (see below), whose sum is σ = 690110400. Its totient is φ = 91163520.

The previous prime is 284580091. The next prime is 284580151. The reversal of 284580132 is 231085482.

It is a junction number, because it is equal to n+sod(n) for n = 284580093 and 284580102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77907 + ... + 81477.

It is an arithmetic number, because the mean of its divisors is an integer number (14377300).

Almost surely, 2^284580132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284580132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345055200).

284580132 is an abundant number, since it is smaller than the sum of its proper divisors (405530268).

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

284580132 is a wasteful number, since it uses less digits than its factorization.

284580132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 284580132 is about 16869.5030157975. The cubic root of 284580132 is about 657.7611097461.

The spelling of 284580132 in words is "two hundred eighty-four million, five hundred eighty thousand, one hundred thirty-two".