447348480 has 144 divisors (see below), whose sum is σ = 1444650144. Its totient is φ = 117964800.

The previous prime is 447348469. The next prime is 447348487. The reversal of 447348480 is 84843744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447348487) 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, 371880 + ... + 373080.

Almost surely, 2^447348480 is an apocalyptic number.

447348480 is a gapful number since it is divisible by the number (40) 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 447348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722325072).

447348480 is an abundant number, since it is smaller than the sum of its proper divisors (997301664).

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

447348480 is a wasteful number, since it uses less digits than its factorization.

447348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The square root of 447348480 is about 21150.6141754796. The cubic root of 447348480 is about 764.8013666870.

The spelling of 447348480 in words is "four hundred forty-seven million, three hundred forty-eight thousand, four hundred eighty".