447538560 has 384 divisors, whose sum is σ = 1707920640. Its totient is φ = 99348480.

The previous prime is 447538529. The next prime is 447538561. The reversal of 447538560 is 65835744.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447538561) by changing a digit.

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, 6303325 + ... + 6303395.

It is an arithmetic number, because the mean of its divisors is an integer number (4447710).

Almost surely, 2^447538560 is an apocalyptic number.

447538560 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 447538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853960320).

447538560 is an abundant number, since it is smaller than the sum of its proper divisors (1260382080).

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

447538560 is a wasteful number, since it uses less digits than its factorization.

447538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 447538560 is about 21155.1071847911. The cubic root of 447538560 is about 764.9096736447.

The spelling of 447538560 in words is "four hundred forty-seven million, five hundred thirty-eight thousand, five hundred sixty".