9042400 has 72 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 3548160.

The previous prime is 9042391. The next prime is 9042401. The reversal of 9042400 is 42409.

9042400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9042401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71137 + ... + 71263.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 2^9042400 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 9042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

9042400 is an abundant number, since it is smaller than the sum of its proper divisors (13456160).

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

9042400 is a wasteful number, since it uses less digits than its factorization.

9042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 9042400 is about 3007.0583632514. The cubic root of 9042400 is about 208.3345208821.

Adding to 9042400 its reverse (42409), we get a palindrome (9084809).

The spelling of 9042400 in words is "nine million, forty-two thousand, four hundred".