481824 has 72 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 137088.

The previous prime is 481813. The next prime is 481837. The reversal of 481824 is 428184.

481824 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 (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1897 + ... + 2135.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2⁴⁸¹⁸²⁴ 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 481824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

481824 is an abundant number, since it is smaller than the sum of its proper divisors (1090656).

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

481824 is a wasteful number, since it uses less digits than its factorization.

481824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

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

The square root of 481824 is about 694.1354334710. The cubic root of 481824 is about 78.3964041111.

The spelling of 481824 in words is "four hundred eighty-one thousand, eight hundred twenty-four".