475200 has 168 divisors, whose sum is σ = 1889760. Its totient is φ = 115200.

The previous prime is 475169. The next prime is 475207. The reversal of 475200 is 2574.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 475200.

It is not an unprimeable number, because it can be changed into a prime (475207) by changing a digit.

475200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43195 + ... + 43205.

2⁴⁷⁵²⁰⁰ is an apocalyptic number.

475200 is a gapful number since it is divisible by the number (40) 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 475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944880).

475200 is an abundant number, since it is smaller than the sum of its proper divisors (1414560).

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

475200 is a wasteful number, since it uses less digits than its factorization.

475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 475200 is about 689.3475175846. The cubic root of 475200 is about 78.0354868111.

Adding to 475200 its reverse (2574), we get a palindrome (477774).

The spelling of 475200 in words is "four hundred seventy-five thousand, two hundred".