96446400 has 168 divisors, whose sum is σ = 322015104. Its totient is φ = 25267200.

The previous prime is 96446381. The next prime is 96446407. The reversal of 96446400 is 464469.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96446407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340659 + ... + 340941.

Almost surely, 2^96446400 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 96446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161007552).

96446400 is an abundant number, since it is smaller than the sum of its proper divisors (225568704).

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

96446400 is a wasteful number, since it uses less digits than its factorization.

96446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 96446400 is about 9820.7128050870. The cubic root of 96446400 is about 458.5943226144.

The spelling of 96446400 in words is "ninety-six million, four hundred forty-six thousand, four hundred".