447463728 has 120 divisors (see below), whose sum is σ = 1280127888. Its totient is φ = 145883136.

The previous prime is 447463727. The next prime is 447463739. The reversal of 447463728 is 827364744.

447463728 is a `hidden beast` number, since 4 + 4 + 7 + 4 + 637 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (447463727) 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, 1740976 + ... + 1741232.

Almost surely, 2^447463728 is an apocalyptic number.

447463728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447463728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640063944).

447463728 is an abundant number, since it is smaller than the sum of its proper divisors (832664160).

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

447463728 is a wasteful number, since it uses less digits than its factorization.

447463728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 482 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 447463728 is about 21153.3384599216. The cubic root of 447463728 is about 764.8670382784.

The spelling of 447463728 in words is "four hundred forty-seven million, four hundred sixty-three thousand, seven hundred twenty-eight".