447456 has 48 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 144768.

The previous prime is 447451. The next prime is 447463. The reversal of 447456 is 654744.

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 13.

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 447456.

It is not an unprimeable number, because it can be changed into a prime (447451) by changing a digit.

447456 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 7 ways as a sum of consecutive naturals, for example, 5625 + ... + 5703.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2⁴⁴⁷⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

447456 is an abundant number, since it is smaller than the sum of its proper divisors (762144).

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

447456 is a wasteful number, since it uses less digits than its factorization.

447456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 447456 is about 668.9215200605. The cubic root of 447456 is about 76.4862634997.

It can be divided in two parts, 447 and 456, that added together give a triangular number (903 = T₄₂).

The spelling of 447456 in words is "four hundred forty-seven thousand, four hundred fifty-six".