9996000400 has 45 divisors (see below), whose sum is σ = 24020195961. Its totient is φ = 3997600320.

The previous prime is 9996000397. The next prime is 9996000403. The reversal of 9996000400 is 40006999.

The square root of 9996000400 is 99980.

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

9996000400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9996000397) and next prime (9996000403).

It can be written as a sum of positive squares in only one way, i.e., 3598560144 + 6397440256 = 59988^2 + 79984^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9996000400.

It is not an unprimeable number, because it can be changed into a prime (9996000403) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1997101 + ... + 2002099.

Almost surely, 2^9996000400 is an apocalyptic number.

9996000400 is the 99980-th square number.

It is an amenable number.

9996000400 is an abundant number, since it is smaller than the sum of its proper divisors (14024195561).

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

9996000400 is an frugal number, since it uses more digits than its factorization.

9996000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The cubic root of 9996000400 is about 2154.1474224971.

The spelling of 9996000400 in words is "nine billion, nine hundred ninety-six million, four hundred", and thus it is an aban number.