481664 has 32 divisors (see below), whose sum is σ = 991440. Its totient is φ = 232960.

The previous prime is 481651. The next prime is 481667. The reversal of 481664 is 466184.

481664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481667) by changing a digit.

481664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6749 + ... + 6819.

2⁴⁸¹⁶⁶⁴ 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 481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495720).

481664 is an abundant number, since it is smaller than the sum of its proper divisors (509776).

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

481664 is an equidigital number, since it uses as much as digits as its factorization.

481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 481664 is about 694.0201726175. The cubic root of 481664 is about 78.3877254142.

The spelling of 481664 in words is "four hundred eighty-one thousand, six hundred sixty-four".