9242400 has 72 divisors (see below), whose sum is σ = 30091824. Its totient is φ = 2464000.

The previous prime is 9242399. The next prime is 9242413. The reversal of 9242400 is 42429.

9242400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475 + ... + 4325.

It is an arithmetic number, because the mean of its divisors is an integer number (417942).

Almost surely, 2^9242400 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 9242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15045912).

9242400 is an abundant number, since it is smaller than the sum of its proper divisors (20849424).

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

9242400 is a wasteful number, since it uses less digits than its factorization.

9242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 9242400 is about 3040.1315761000. The cubic root of 9242400 is about 209.8593162046.

Adding to 9242400 its reverse (42429), we get a palindrome (9284829).

The spelling of 9242400 in words is "nine million, two hundred forty-two thousand, four hundred".