447957552 has 80 divisors (see below), whose sum is σ = 1326026240. Its totient is φ = 127650816.

The previous prime is 447957551. The next prime is 447957569. The reversal of 447957552 is 255759744.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (447957551) 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 15 ways as a sum of consecutive naturals, for example, 143949 + ... + 147027.

It is an arithmetic number, because the mean of its divisors is an integer number (16575328).

Almost surely, 2^447957552 is an apocalyptic number.

447957552 is a gapful number since it is divisible by the number (42) 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 447957552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663013120).

447957552 is an abundant number, since it is smaller than the sum of its proper divisors (878068688).

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

447957552 is a wasteful number, since it uses less digits than its factorization.

447957552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3524 counting only the distinct ones).

The product of its digits is 1764000, while the sum is 48.

The square root of 447957552 is about 21165.0077250163. The cubic root of 447957552 is about 765.1483056484.

The spelling of 447957552 in words is "four hundred forty-seven million, nine hundred fifty-seven thousand, five hundred fifty-two".