447296 has 28 divisors (see below), whose sum is σ = 922020. Its totient is φ = 215040.

The previous prime is 447263. The next prime is 447311. The reversal of 447296 is 692744.

It can be written as a sum of positive squares in 2 ways, for example, as 287296 + 160000 = 536^2 + 400^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 4⁴ + 4⁹ + 2¹³ + 7⁶ + 9⁵ + 6 .

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 447296.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1736 + ... + 1976.

2⁴⁴⁷²⁹⁶ 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 447296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461010).

447296 is an abundant number, since it is smaller than the sum of its proper divisors (474724).

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

447296 is a wasteful number, since it uses less digits than its factorization.

447296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 447296 is about 668.8019138729. The cubic root of 447296 is about 76.4771458351.

The spelling of 447296 in words is "four hundred forty-seven thousand, two hundred ninety-six".