9794400 has 288 divisors, whose sum is σ = 40497408. Its totient is φ = 1996800.

The previous prime is 9794371. The next prime is 9794417. The reversal of 9794400 is 44979.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184774 + ... + 184826.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 2^9794400 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 9794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248704).

9794400 is an abundant number, since it is smaller than the sum of its proper divisors (30703008).

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

9794400 is a wasteful number, since it uses less digits than its factorization.

9794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 9794400 is about 3129.6006134969. The cubic root of 9794400 is about 213.9567269186.

The spelling of 9794400 in words is "nine million, seven hundred ninety-four thousand, four hundred".