447664896 has 216 divisors, whose sum is σ = 1513328544. Its totient is φ = 124600320.

The previous prime is 447664849. The next prime is 447664897. The reversal of 447664896 is 698466744.

It is a super-2 number, since 2×447664896² = 400807718221381632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (447664897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660910 + ... + 661586.

Almost surely, 2^447664896 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 447664896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756664272).

447664896 is an abundant number, since it is smaller than the sum of its proper divisors (1065663648).

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

447664896 is a wasteful number, since it uses less digits than its factorization.

447664896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 730 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 447664896 is about 21158.0929197317. The cubic root of 447664896 is about 764.9816425173.

It can be divided in two parts, 4476648 and 96, that added together give a palindrome (4476744).

The spelling of 447664896 in words is "four hundred forty-seven million, six hundred sixty-four thousand, eight hundred ninety-six".