427284 has 72 divisors (see below), whose sum is σ = 1284192. Its totient is φ = 118080.

The previous prime is 427283. The next prime is 427307. The reversal of 427284 is 482724.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

Its product of digits (3584) is a multiple of the sum of its prime divisors (112).

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 427284.

It is not an unprimeable number, because it can be changed into a prime (427283) 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 23 ways as a sum of consecutive naturals, for example, 5107 + ... + 5189.

It is an arithmetic number, because the mean of its divisors is an integer number (17836).

2⁴²⁷²⁸⁴ is an apocalyptic number.

427284 is a gapful number since it is divisible by the number (44) 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 427284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642096).

427284 is an abundant number, since it is smaller than the sum of its proper divisors (856908).

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

427284 is a wasteful number, since it uses less digits than its factorization.

427284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 112 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 427284 is about 653.6696413327. The cubic root of 427284 is about 75.3191731201.

It can be divided in two parts, 4272 and 84, that added together give a square (4356 = 66²).

The spelling of 427284 in words is "four hundred twenty-seven thousand, two hundred eighty-four".