8832240400 has 135 divisors (see below), whose sum is σ = 21981528639. Its totient is φ = 3410346240.

The previous prime is 8832240397. The next prime is 8832240407. The reversal of 8832240400 is 40422388.

The square root of 8832240400 is 93980.

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

It can be written as a sum of positive squares in 4 ways, for example, as 838449936 + 7993790464 = 28956^2 + 89408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8832240407) 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 26 ways as a sum of consecutive naturals, for example, 69545137 + ... + 69545263.

Almost surely, 2^8832240400 is an apocalyptic number.

8832240400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8832240400 is the 93980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8832240400

8832240400 is an abundant number, since it is smaller than the sum of its proper divisors (13149288239).

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

8832240400 is a wasteful number, since it uses less digits than its factorization.

8832240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The cubic root of 8832240400 is about 2067.0784553478.

Adding to 8832240400 its reverse (40422388), we get a palindrome (8872662788).

The spelling of 8832240400 in words is "eight billion, eight hundred thirty-two million, two hundred forty thousand, four hundred".