483636384 has 288 divisors, whose sum is σ = 1738848384. Its totient is φ = 123863040.

The previous prime is 483636359. The next prime is 483636389.

483636384 is a `hidden beast` number, since 4 + 8 + 3 + 6 + 3 + 638 + 4 = 666.

483636384 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (288).

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 (483636389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2505792 + ... + 2505984.

It is an arithmetic number, because the mean of its divisors is an integer number (6037668).

Almost surely, 2^483636384 is an apocalyptic number.

483636384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483636384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869424192).

483636384 is an abundant number, since it is smaller than the sum of its proper divisors (1255212000).

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

483636384 is a wasteful number, since it uses less digits than its factorization.

483636384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 483636384 is about 21991.7344472872. The cubic root of 483636384 is about 784.9457730943.

The spelling of 483636384 in words is "four hundred eighty-three million, six hundred thirty-six thousand, three hundred eighty-four".