447213312 has 432 divisors, whose sum is σ = 1666595840. Its totient is φ = 116453376.

The previous prime is 447213301. The next prime is 447213313. The reversal of 447213312 is 213312744.

It is a happy number.

447213312 is a `hidden beast` number, since 447 + 213 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447213313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5660889 + ... + 5660967.

Almost surely, 2^447213312 is an apocalyptic number.

447213312 is a gapful number since it is divisible by the number (42) 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 447213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833297920).

447213312 is an abundant number, since it is smaller than the sum of its proper divisors (1219382528).

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

447213312 is an equidigital number, since it uses as much as digits as its factorization.

447213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 447213312 is about 21147.4185658676. The cubic root of 447213312 is about 764.7243297390.

The spelling of 447213312 in words is "four hundred forty-seven million, two hundred thirteen thousand, three hundred twelve".