447068160 has 720 divisors, whose sum is σ = 2033511480. Its totient is φ = 92897280.

The previous prime is 447068137. The next prime is 447068173. The reversal of 447068160 is 61860744.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40642555 + ... + 40642565.

Almost surely, 2^447068160 is an apocalyptic number.

447068160 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 447068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016755740).

447068160 is an abundant number, since it is smaller than the sum of its proper divisors (1586443320).

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

447068160 is a wasteful number, since it uses less digits than its factorization.

447068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 447068160 is about 21143.9863791103. The cubic root of 447068160 is about 764.6415852751.

The spelling of 447068160 in words is "four hundred forty-seven million, sixty-eight thousand, one hundred sixty".