96440400 has 360 divisors, whose sum is σ = 395778240. Its totient is φ = 21288960.

The previous prime is 96440387. The next prime is 96440401. The reversal of 96440400 is 404469.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96440401) 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 71 ways as a sum of consecutive naturals, for example, 1083556 + ... + 1083644.

It is an arithmetic number, because the mean of its divisors is an integer number (1099384).

Almost surely, 2^96440400 is an apocalyptic number.

96440400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197889120).

96440400 is an abundant number, since it is smaller than the sum of its proper divisors (299337840).

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

96440400 is a wasteful number, since it uses less digits than its factorization.

96440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 96440400 is about 9820.4073235279. The cubic root of 96440400 is about 458.5848125895.

Adding to 96440400 its reverse (404469), we get a palindrome (96844869).

The spelling of 96440400 in words is "ninety-six million, four hundred forty thousand, four hundred".