447870241728 has 336 divisors, whose sum is σ = 1581629999040. Its totient is φ = 117996797952.

The previous prime is 447870241711. The next prime is 447870241751. The reversal of 447870241728 is 827142078744.

447870241728 is a `hidden beast` number, since 447 + 8 + 7 + 0 + 24 + 172 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57496458 + ... + 57504246.

It is an arithmetic number, because the mean of its divisors is an integer number (4707232140).

Almost surely, 2^447870241728 is an apocalyptic number.

447870241728 is a gapful number since it is divisible by the number (48) 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 447870241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790814999520).

447870241728 is an abundant number, since it is smaller than the sum of its proper divisors (1133759757312).

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

447870241728 is a wasteful number, since it uses less digits than its factorization.

447870241728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8924 (or 8911 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 54.

The spelling of 447870241728 in words is "four hundred forty-seven billion, eight hundred seventy million, two hundred forty-one thousand, seven hundred twenty-eight".