483824016 has 225 divisors, whose sum is σ = 1549279281. Its totient is φ = 145701504.

The previous prime is 483823987. The next prime is 483824017. The reversal of 483824016 is 610428384.

The square root of 483824016 is 21996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 71571600 + 412252416 = 8460^2 + 20304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (483824017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10294105 + ... + 10294151.

Almost surely, 2^483824016 is an apocalyptic number.

483824016 is the 21996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483824016

483824016 is an abundant number, since it is smaller than the sum of its proper divisors (1065455265).

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

483824016 is a wasteful number, since it uses less digits than its factorization.

483824016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The cubic root of 483824016 is about 785.0472693891.

Multiplying 483824016 by its sum of digits (36), we get a square (17417664576 = 131976²).

483824016 divided by its sum of digits (36) gives a square (13439556 = 3666²).

Multiplying 483824016 by its product of nonzero digits (36864), we get a square (17835688525824 = 4223232²).

The spelling of 483824016 in words is "four hundred eighty-three million, eight hundred twenty-four thousand, sixteen".