483733824 has 112 divisors (see below), whose sum is σ = 1467916800. Its totient is φ = 137719296.

The previous prime is 483733813. The next prime is 483733829. The reversal of 483733824 is 428337384.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483733829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562707 + ... + 563565.

It is an arithmetic number, because the mean of its divisors is an integer number (13106400).

Almost surely, 2^483733824 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 483733824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733958400).

483733824 is an abundant number, since it is smaller than the sum of its proper divisors (984182976).

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

483733824 is a wasteful number, since it uses less digits than its factorization.

483733824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1290 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 483733824 is about 21993.9497135008. The cubic root of 483733824 is about 784.9984848579.

The spelling of 483733824 in words is "four hundred eighty-three million, seven hundred thirty-three thousand, eight hundred twenty-four".