447055560 has 192 divisors, whose sum is σ = 1748073600. Its totient is φ = 96795648.

The previous prime is 447055529. The next prime is 447055573. The reversal of 447055560 is 65550744.

It is a happy number.

447055560 is a `hidden beast` number, since 4 + 47 + 0 + 55 + 560 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 43212 + ... + 52548.

It is an arithmetic number, because the mean of its divisors is an integer number (9104550).

Almost surely, 2^447055560 is an apocalyptic number.

447055560 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 447055560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874036800).

447055560 is an abundant number, since it is smaller than the sum of its proper divisors (1301018040).

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

447055560 is a wasteful number, since it uses less digits than its factorization.

447055560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9380 (or 9373 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 447055560 is about 21143.6884199517. The cubic root of 447055560 is about 764.6344017511.

Adding to 447055560 its product of nonzero digits (84000), we get a triangular number (447139560 = T₂₉₉₀₄).

The spelling of 447055560 in words is "four hundred forty-seven million, fifty-five thousand, five hundred sixty".