447460224 has 128 divisors (see below), whose sum is σ = 1234306080. Its totient is φ = 143523840.

The previous prime is 447460219. The next prime is 447460267. The reversal of 447460224 is 422064744.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×447460224³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1527022 + ... + 1527314.

Almost surely, 2^447460224 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 447460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617153040).

447460224 is an abundant number, since it is smaller than the sum of its proper divisors (786845856).

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

447460224 is a wasteful number, since it uses less digits than its factorization.

447460224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The square root of 447460224 is about 21153.2556359535. The cubic root of 447460224 is about 764.8650417657.

The spelling of 447460224 in words is "four hundred forty-seven million, four hundred sixty thousand, two hundred twenty-four".