9475200 has 288 divisors, whose sum is σ = 39461760. Its totient is φ = 2119680.

The previous prime is 9475189. The next prime is 9475201. The reversal of 9475200 is 25749.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9475201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201577 + ... + 201623.

It is an arithmetic number, because the mean of its divisors is an integer number (137020).

Almost surely, 2^9475200 is an apocalyptic number.

9475200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730880).

9475200 is an abundant number, since it is smaller than the sum of its proper divisors (29986560).

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

9475200 is a wasteful number, since it uses less digits than its factorization.

9475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 9475200 is about 3078.1812812114. The cubic root of 9475200 is about 211.6067231281.

The spelling of 9475200 in words is "nine million, four hundred seventy-five thousand, two hundred".