9412800 has 168 divisors, whose sum is σ = 32314896. Its totient is φ = 2396160.

The previous prime is 9412759. The next prime is 9412807. The reversal of 9412800 is 82149.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (9412807) 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, 177574 + ... + 177626.

Almost surely, 2^9412800 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 9412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16157448).

9412800 is an abundant number, since it is smaller than the sum of its proper divisors (22902096).

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

9412800 is a wasteful number, since it uses less digits than its factorization.

9412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 9412800 is about 3068.0286830471. The cubic root of 9412800 is about 211.1411796712.

Adding to 9412800 its reverse (82149), we get a palindrome (9494949).

It can be divided in two parts, 941 and 2800, that added together give a triangular number (3741 = T₈₆).

The spelling of 9412800 in words is "nine million, four hundred twelve thousand, eight hundred".