447814368 has 72 divisors (see below), whose sum is σ = 1275635088. Its totient is φ = 149018112.

The previous prime is 447814349. The next prime is 447814379. The reversal of 447814368 is 863418744.

447814368 is a `hidden beast` number, since 447 + 8 + 143 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 254580 + ... + 256332.

It is an arithmetic number, because the mean of its divisors is an integer number (17717154).

Almost surely, 2^447814368 is an apocalyptic number.

447814368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

447814368 is an abundant number, since it is smaller than the sum of its proper divisors (827820720).

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

447814368 is a wasteful number, since it uses less digits than its factorization.

447814368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2645 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 447814368 is about 21161.6248903528. The cubic root of 447814368 is about 765.0667736152.

The spelling of 447814368 in words is "four hundred forty-seven million, eight hundred fourteen thousand, three hundred sixty-eight".