472200 has 48 divisors (see below), whose sum is σ = 1465680. Its totient is φ = 125760.

The previous prime is 472193. The next prime is 472247. The reversal of 472200 is 2274.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 472200.

It is an unprimeable number.

472200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (30535).

2⁴⁷²²⁰⁰ is an apocalyptic number.

472200 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 472200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732840).

472200 is an abundant number, since it is smaller than the sum of its proper divisors (993480).

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

472200 is a wasteful number, since it uses less digits than its factorization.

472200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 472200 is about 687.1681017044. The cubic root of 472200 is about 77.8709239296.

Adding to 472200 its reverse (2274), we get a palindrome (474474).

The spelling of 472200 in words is "four hundred seventy-two thousand, two hundred", and thus it is an iban number.