447669360 has 120 divisors (see below), whose sum is σ = 1535526720. Its totient is φ = 116829696.

The previous prime is 447669359. The next prime is 447669373. The reversal of 447669360 is 63966744.

447669360 is a `hidden beast` number, since 447 + 66 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27226 + ... + 40454.

It is an arithmetic number, because the mean of its divisors is an integer number (12796056).

Almost surely, 2^447669360 is an apocalyptic number.

447669360 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 447669360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767763360).

447669360 is an abundant number, since it is smaller than the sum of its proper divisors (1087857360).

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

447669360 is a wasteful number, since it uses less digits than its factorization.

447669360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13295 (or 13286 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 447669360 is about 21158.1984110179. The cubic root of 447669360 is about 764.9841852427.

The spelling of 447669360 in words is "four hundred forty-seven million, six hundred sixty-nine thousand, three hundred sixty".