8482410000 has 225 divisors, whose sum is σ = 29761153851. Its totient is φ = 2254608000.

The previous prime is 8482409941. The next prime is 8482410019. The reversal of 8482410000 is 142848.

The square root of 8482410000 is 92100.

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

It can be written as a sum of positive squares in 2 ways, for example, as 665020944 + 7817389056 = 25788^2 + 88416^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27629847 + ... + 27630153.

Almost surely, 2^8482410000 is an apocalyptic number.

8482410000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8482410000 is the 92100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8482410000

8482410000 is an abundant number, since it is smaller than the sum of its proper divisors (21278743851).

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

8482410000 is an equidigital number, since it uses as much as digits as its factorization.

8482410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The cubic root of 8482410000 is about 2039.4188079070.

Adding to 8482410000 its reverse (142848), we get a palindrome (8482552848).

It can be divided in two parts, 84 and 82410000, that added together give a square (82410084 = 9078²).

The spelling of 8482410000 in words is "eight billion, four hundred eighty-two million, four hundred ten thousand".