471200 has 72 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 172800.

The previous prime is 471193. The next prime is 471209. The reversal of 471200 is 2174.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 471200.

It is not an unprimeable number, because it can be changed into a prime (471209) by changing a digit.

471200 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15185 + ... + 15215.

It is an arithmetic number, because the mean of its divisors is an integer number (17360).

2⁴⁷¹²⁰⁰ is an apocalyptic number.

471200 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 471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

471200 is an abundant number, since it is smaller than the sum of its proper divisors (778720).

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

471200 is a wasteful number, since it uses less digits than its factorization.

471200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 471200 is about 686.4400920692. The cubic root of 471200 is about 77.8159147816.

Adding to 471200 its reverse (2174), we get a palindrome (473374).

The spelling of 471200 in words is "four hundred seventy-one thousand, two hundred", and thus it is an iban number.