447600 has 60 divisors (see below), whose sum is σ = 1437656. Its totient is φ = 119040.

The previous prime is 447571. The next prime is 447611. The reversal of 447600 is 6744.

It is a tau number, because it is divible by the number of its divisors (60).

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 447600.

It is an unprimeable number.

447600 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, 1014 + ... + 1386.

2⁴⁴⁷⁶⁰⁰ is an apocalyptic number.

447600 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 447600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718828).

447600 is an abundant number, since it is smaller than the sum of its proper divisors (990056).

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

447600 is a wasteful number, since it uses less digits than its factorization.

447600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 447600 is about 669.0291473471. The cubic root of 447600 is about 76.4944675396.

The spelling of 447600 in words is "four hundred forty-seven thousand, six hundred".