96459936400 has 135 divisors (see below), whose sum is σ = 237008940049. Its totient is φ = 37726773760.

The previous prime is 96459936389. The next prime is 96459936407. The reversal of 96459936400 is 463995469.

The square root of 96459936400 is 310580.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2078265744 + 94381670656 = 45588^2 + 307216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96459936407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 329214654 + ... + 329214946.

Almost surely, 2^96459936400 is an apocalyptic number.

96459936400 is the 310580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96459936400

96459936400 is an abundant number, since it is smaller than the sum of its proper divisors (140549003649).

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

96459936400 is an equidigital number, since it uses as much as digits as its factorization.

96459936400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 55.

The spelling of 96459936400 in words is "ninety-six billion, four hundred fifty-nine million, nine hundred thirty-six thousand, four hundred".