481344 has 56 divisors (see below), whose sum is σ = 1341120. Its totient is φ = 152064.

The previous prime is 481343. The next prime is 481363. The reversal of 481344 is 443184.

481344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (481343) 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 7 ways as a sum of consecutive naturals, for example, 4362 + ... + 4470.

2⁴⁸¹³⁴⁴ 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 481344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670560).

481344 is an abundant number, since it is smaller than the sum of its proper divisors (859776).

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

481344 is a wasteful number, since it uses less digits than its factorization.

481344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 481344 is about 693.7895934648. The cubic root of 481344 is about 78.3703622529.

The spelling of 481344 in words is "four hundred eighty-one thousand, three hundred forty-four".