447616 has 32 divisors (see below), whose sum is σ = 963900. Its totient is φ = 205824.

The previous prime is 447611. The next prime is 447617. The reversal of 447616 is 616744.

It can be written as a sum of positive squares in 2 ways, for example, as 360000 + 87616 = 600^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (447611) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1530 + ... + 1798.

2⁴⁴⁷⁶¹⁶ 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 447616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481950).

447616 is an abundant number, since it is smaller than the sum of its proper divisors (516284).

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

447616 is a wasteful number, since it uses less digits than its factorization.

447616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 447616 is about 669.0411048658. The cubic root of 447616 is about 76.4953789910.

The spelling of 447616 in words is "four hundred forty-seven thousand, six hundred sixteen".