9264400 has 120 divisors (see below), whose sum is σ = 24909120.
Its totient is φ = 3294720.
The previous prime is 9264397. The next prime is 9264403. The reversal of 9264400 is 44629.
It is an interprime number because it is at equal distance from previous prime (9264397) and next prime (9264403).
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (9264403) 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, 174774 + ... + 174826.
It is an arithmetic number, because the mean of its divisors is an integer number (207576).
Almost surely, 29264400 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 9264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454560).
9264400 is an abundant number, since it is smaller than the sum of its proper divisors (15644720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9264400 is a wasteful number, since it uses less digits than its factorization.
9264400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 113 (or 102 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 25.
The square root of 9264400 is about 3043.7476899375.
The cubic root of 9264400 is about 210.0256960242.
The spelling of 9264400 in words is "nine million, two hundred sixty-four thousand, four hundred".