447467328 has 560 divisors, whose sum is σ = 1770278400. Its totient is φ = 108241920.

The previous prime is 447467281. The next prime is 447467407. The reversal of 447467328 is 823764744.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7584163 + ... + 7584221.

Almost surely, 2^447467328 is an apocalyptic number.

447467328 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 447467328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885139200).

447467328 is an abundant number, since it is smaller than the sum of its proper divisors (1322811072).

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

447467328 is a wasteful number, since it uses less digits than its factorization.

447467328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

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

The square root of 447467328 is about 21153.4235527018. The cubic root of 447467328 is about 764.8690894793.

The spelling of 447467328 in words is "four hundred forty-seven million, four hundred sixty-seven thousand, three hundred twenty-eight".