447200 has 72 divisors (see below), whose sum is σ = 1203048. Its totient is φ = 161280.

The previous prime is 447197. The next prime is 447211. The reversal of 447200 is 2744.

It is an Ulam 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 447200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10379 + ... + 10421.

It is an arithmetic number, because the mean of its divisors is an integer number (16709).

2⁴⁴⁷²⁰⁰ is an apocalyptic number.

447200 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 447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601524).

447200 is an abundant number, since it is smaller than the sum of its proper divisors (755848).

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

447200 is a wasteful number, since it uses less digits than its factorization.

447200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 447200 is about 668.7301398920. The cubic root of 447200 is about 76.4716741927.

Adding to 447200 its reverse (2744), we get a palindrome (449944).

The spelling of 447200 in words is "four hundred forty-seven thousand, two hundred", and thus it is an iban number.