9408412800 has 144 divisors (see below), whose sum is σ = 33571475730. Its totient is φ = 2508902400.

The previous prime is 9408412789. The next prime is 9408412817. The reversal of 9408412800 is 82148049.

It can be written as a sum of positive squares in 3 ways, for example, as 6284049984 + 3124362816 = 79272^2 + 55896^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 134541 + ... + 192140.

Almost surely, 2^9408412800 is an apocalyptic number.

9408412800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9408412800 is an abundant number, since it is smaller than the sum of its proper divisors (24163062930).

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

9408412800 is a wasteful number, since it uses less digits than its factorization.

9408412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326711 (or 326691 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 9408412800 is about 96996.9731486504. The cubic root of 9408412800 is about 2111.0837106529.

The spelling of 9408412800 in words is "nine billion, four hundred eight million, four hundred twelve thousand, eight hundred".