447000320 has 72 divisors (see below), whose sum is σ = 1153110336. Its totient is φ = 165040128.

The previous prime is 447000313. The next prime is 447000371. The reversal of 447000320 is 23000744.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 447000292 and 447000301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3209 + ... + 30071.

Almost surely, 2^447000320 is an apocalyptic number.

447000320 is a gapful number since it is divisible by the number (40) 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 447000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576555168).

447000320 is an abundant number, since it is smaller than the sum of its proper divisors (706110016).

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

447000320 is a wasteful number, since it uses less digits than its factorization.

447000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26897 (or 26883 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 447000320 is about 21142.3820796049. The cubic root of 447000320 is about 764.6029066769.

The spelling of 447000320 in words is "four hundred forty-seven million, three hundred twenty", and thus it is an aban number.