482641824 has 96 divisors (see below), whose sum is σ = 1451399040. Its totient is φ = 137567232.

The previous prime is 482641807. The next prime is 482641853. The reversal of 482641824 is 428146284.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 475942 + ... + 476954.

It is an arithmetic number, because the mean of its divisors is an integer number (15118740).

Almost surely, 2^482641824 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 482641824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725699520).

482641824 is an abundant number, since it is smaller than the sum of its proper divisors (968757216).

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

482641824 is a wasteful number, since it uses less digits than its factorization.

482641824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1734 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 482641824 is about 21969.1106784048. The cubic root of 482641824 is about 784.4073441983.

The spelling of 482641824 in words is "four hundred eighty-two million, six hundred forty-one thousand, eight hundred twenty-four".