96444400 has 120 divisors (see below), whose sum is σ = 264451824. Its totient is φ = 33484800.

The previous prime is 96444371. The next prime is 96444407. The reversal of 96444400 is 444469.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96444407) 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 23 ways as a sum of consecutive naturals, for example, 87855 + ... + 88945.

Almost surely, 2^96444400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132225912).

96444400 is an abundant number, since it is smaller than the sum of its proper divisors (168007424).

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

96444400 is a wasteful number, since it uses less digits than its factorization.

96444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 96444400 is about 9820.6109789565. The cubic root of 96444400 is about 458.5911526499.

Adding to 96444400 its reverse (444469), we get a palindrome (96888869).

The spelling of 96444400 in words is "ninety-six million, four hundred forty-four thousand, four hundred".