447040512 has 352 divisors, whose sum is σ = 1493491200. Its totient is φ = 131383296.

The previous prime is 447040511. The next prime is 447040519. The reversal of 447040512 is 215040744.

447040512 is a `hidden beast` number, since 44 + 70 + 40 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447040511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12082158 + ... + 12082194.

Almost surely, 2^447040512 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 447040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746745600).

447040512 is an abundant number, since it is smaller than the sum of its proper divisors (1046450688).

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

447040512 is a wasteful number, since it uses less digits than its factorization.

447040512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 447040512 is about 21143.3325660833. The cubic root of 447040512 is about 764.6258223942.

The spelling of 447040512 in words is "four hundred forty-seven million, forty thousand, five hundred twelve".