447986952 has 192 divisors, whose sum is σ = 1461058560. Its totient is φ = 121305600.

The previous prime is 447986923. The next prime is 447986963. The reversal of 447986952 is 259689744.

447986952 is a `hidden beast` number, since 4 + 479 + 86 + 95 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827802 + ... + 828342.

It is an arithmetic number, because the mean of its divisors is an integer number (7609680).

Almost surely, 2^447986952 is an apocalyptic number.

447986952 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 447986952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730529280).

447986952 is an abundant number, since it is smaller than the sum of its proper divisors (1013071608).

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

447986952 is a wasteful number, since it uses less digits than its factorization.

447986952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 637 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 447986952 is about 21165.7022562447. The cubic root of 447986952 is about 765.1650444874.

The spelling of 447986952 in words is "four hundred forty-seven million, nine hundred eighty-six thousand, nine hundred fifty-two".