9864462400 has 189 divisors, whose sum is σ = 26421832983. Its totient is φ = 3623193600.

The previous prime is 9864462383. The next prime is 9864462401. The reversal of 9864462400 is 42644689.

The square root of 9864462400 is 99320.

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 2542579776 + 7321882624 = 50424^2 + 85568^2 .

It is not an unprimeable number, because it can be changed into a prime (9864462401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51646305 + ... + 51646495.

Almost surely, 2^9864462400 is an apocalyptic number.

9864462400 is the 99320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9864462400

9864462400 is an abundant number, since it is smaller than the sum of its proper divisors (16557370583).

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

9864462400 is a wasteful number, since it uses less digits than its factorization.

9864462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The cubic root of 9864462400 is about 2144.6568168441.

The spelling of 9864462400 in words is "nine billion, eight hundred sixty-four million, four hundred sixty-two thousand, four hundred".