284281472 has 64 divisors (see below), whose sum is σ = 601032960. Its totient is φ = 133647360.

The previous prime is 284281451. The next prime is 284281493. The reversal of 284281472 is 274182482.

It is an interprime number because it is at equal distance from previous prime (284281451) and next prime (284281493).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178793 + ... + 180375.

It is an arithmetic number, because the mean of its divisors is an integer number (9391140).

Almost surely, 2^284281472 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 284281472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300516480).

284281472 is an abundant number, since it is smaller than the sum of its proper divisors (316751488).

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

284281472 is a wasteful number, since it uses less digits than its factorization.

284281472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1669 counting only the distinct ones).

The product of its digits is 57344, while the sum is 38.

The square root of 284281472 is about 16860.6486233478. The cubic root of 284281472 is about 657.5309277187.

The spelling of 284281472 in words is "two hundred eighty-four million, two hundred eighty-one thousand, four hundred seventy-two".