9746400 has 144 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 2496000.

The previous prime is 9746381. The next prime is 9746447. The reversal of 9746400 is 46479.

9746400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74335 + ... + 74465.

It is an arithmetic number, because the mean of its divisors is an integer number (229152).

Almost surely, 2^9746400 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 9746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

9746400 is an abundant number, since it is smaller than the sum of its proper divisors (23251488).

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

9746400 is a wasteful number, since it uses less digits than its factorization.

9746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 9746400 is about 3121.9224846239. The cubic root of 9746400 is about 213.6066375639.

The spelling of 9746400 in words is "nine million, seven hundred forty-six thousand, four hundred".