481644 has 36 divisors (see below), whose sum is σ = 1290744. Its totient is φ = 150912.

The previous prime is 481639. The next prime is 481651. The reversal of 481644 is 446184.

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

It is a nialpdrome in base 14.

It is an unprimeable number.

481644 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219 + ... + 1005.

It is an arithmetic number, because the mean of its divisors is an integer number (35854).

2⁴⁸¹⁶⁴⁴ 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 481644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645372).

481644 is an abundant number, since it is smaller than the sum of its proper divisors (809100).

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

481644 is a wasteful number, since it uses less digits than its factorization.

481644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 809 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 481644 is about 694.0057636648. The cubic root of 481644 is about 78.3866404419.

Adding to 481644 its sum of digits (27), we get a triangular number (481671 = T₉₈₁).

The spelling of 481644 in words is "four hundred eighty-one thousand, six hundred forty-four".