4485784576 has 297 divisors, whose sum is σ = 11807798121. Its totient is φ = 1697439744.

The previous prime is 4485784559. The next prime is 4485784601. The reversal of 4485784576 is 6754875844.

The square root of 4485784576 is 66976.

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., 663577600 + 3822206976 = 25760^2 + 61824^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4485784576.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 195034101 + ... + 195034123.

Almost surely, 2^4485784576 is an apocalyptic number.

4485784576 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4485784576 is the 66976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4485784576

4485784576 is an abundant number, since it is smaller than the sum of its proper divisors (7322013545).

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

4485784576 is a wasteful number, since it uses less digits than its factorization.

4485784576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 45 counting only the distinct ones).

The product of its digits is 30105600, while the sum is 58.

The cubic root of 4485784576 is about 1649.2233352419.

The spelling of 4485784576 in words is "four billion, four hundred eighty-five million, seven hundred eighty-four thousand, five hundred seventy-six".