447518016 has 126 divisors (see below), whose sum is σ = 1410162026. Its totient is φ = 135590400.

The previous prime is 447518011. The next prime is 447518023. The reversal of 447518016 is 610815744.

It is a happy number.

447518016 is a `hidden beast` number, since 4 + 475 + 180 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 341510400 + 106007616 = 18480^2 + 10296^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447518011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66486 + ... + 72906.

Almost surely, 2^447518016 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 447518016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705081013).

447518016 is an abundant number, since it is smaller than the sum of its proper divisors (962644010).

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

447518016 is a wasteful number, since it uses less digits than its factorization.

447518016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 447518016 is about 21154.6216227093. The cubic root of 447518016 is about 764.8979692195.

The spelling of 447518016 in words is "four hundred forty-seven million, five hundred eighteen thousand, sixteen".