447065136 has 320 divisors, whose sum is σ = 1599897600. Its totient is φ = 116640000.

The previous prime is 447065093. The next prime is 447065147. The reversal of 447065136 is 631560744.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 447065136.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1781011 + ... + 1781261.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^447065136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447065136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799948800).

447065136 is an abundant number, since it is smaller than the sum of its proper divisors (1152832464).

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

447065136 is a wasteful number, since it uses less digits than its factorization.

447065136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 447065136 is about 21143.9148692951. The cubic root of 447065136 is about 764.6398612416.

The spelling of 447065136 in words is "four hundred forty-seven million, sixty-five thousand, one hundred thirty-six".