447216 has 80 divisors (see below), whose sum is σ = 1452288. Its totient is φ = 116160.

The previous prime is 447211. The next prime is 447217. The reversal of 447216 is 612744.

447216 = T₁₃ + T₁₄ + ... + T₁₃₈.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40651 + ... + 40661.

2⁴⁴⁷²¹⁶ 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 447216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726144).

447216 is an abundant number, since it is smaller than the sum of its proper divisors (1005072).

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

447216 is a wasteful number, since it uses less digits than its factorization.

447216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 23 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 447216 is about 668.7421027571. The cubic root of 447216 is about 76.4725861875.

It can be divided in two parts, 44 and 7216, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 447216 in words is "four hundred forty-seven thousand, two hundred sixteen".