9009446400 has 480 divisors, whose sum is σ = 33488928000. Its totient is φ = 2372198400.

The previous prime is 9009446389. The next prime is 9009446431. The reversal of 9009446400 is 46449009.

9009446400 is a `hidden beast` number, since 9 + 0 + 0 + 9 + 4 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×9009446400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45273501 + ... + 45273699.

It is an arithmetic number, because the mean of its divisors is an integer number (69768600).

Almost surely, 2^9009446400 is an apocalyptic number.

9009446400 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 9009446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744464000).

9009446400 is an abundant number, since it is smaller than the sum of its proper divisors (24479481600).

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

9009446400 is a wasteful number, since it uses less digits than its factorization.

9009446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9009446400 is about 94918.1036473022. The cubic root of 9009446400 is about 2080.8113205777.

The spelling of 9009446400 in words is "nine billion, nine million, four hundred forty-six thousand, four hundred".