96451200 has 288 divisors, whose sum is σ = 366254460. Its totient is φ = 24084480.

The previous prime is 96451189. The next prime is 96451207. The reversal of 96451200 is 215469.

96451200 is a `hidden beast` number, since 9 + 6 + 451 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 77580864 + 18870336 = 8808^2 + 4344^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (96451207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489502 + ... + 489698.

Almost surely, 2^96451200 is an apocalyptic number.

96451200 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 96451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183127230).

96451200 is an abundant number, since it is smaller than the sum of its proper divisors (269803260).

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

96451200 is a wasteful number, since it uses less digits than its factorization.

96451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 96451200 is about 9820.9571834929. The cubic root of 96451200 is about 458.6019303503.

Adding to 96451200 its reverse (215469), we get a palindrome (96666669).

The spelling of 96451200 in words is "ninety-six million, four hundred fifty-one thousand, two hundred".