481284 has 36 divisors (see below), whose sum is σ = 1261260. Its totient is φ = 154560.

The previous prime is 481249. The next prime is 481297. The reversal of 481284 is 482184.

It can be written as a sum of positive squares in 2 ways, for example, as 202500 + 278784 = 450^2 + 528^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 481284.

It is an unprimeable number.

481284 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 814 + ... + 1274.

It is an arithmetic number, because the mean of its divisors is an integer number (35035).

2⁴⁸¹²⁸⁴ 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 481284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630630).

481284 is an abundant number, since it is smaller than the sum of its proper divisors (779976).

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

481284 is a wasteful number, since it uses less digits than its factorization.

481284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 495 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 481284 is about 693.7463513418. The cubic root of 481284 is about 78.3671058035.

Subtracting 481284 from its reverse (482184), we obtain a square (900 = 30²).

The spelling of 481284 in words is "four hundred eighty-one thousand, two hundred eighty-four".