447640320 has 144 divisors (see below), whose sum is σ = 1463438592. Its totient is φ = 116551680.

The previous prime is 447640289. The next prime is 447640321. The reversal of 447640320 is 23046744.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (447640321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 163765 + ... + 166475.

It is an arithmetic number, because the mean of its divisors is an integer number (10162768).

Almost surely, 2^447640320 is an apocalyptic number.

447640320 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 447640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731719296).

447640320 is an abundant number, since it is smaller than the sum of its proper divisors (1015798272).

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

447640320 is a wasteful number, since it uses less digits than its factorization.

447640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 447640320 is about 21157.5121410812. The cubic root of 447640320 is about 764.9676435544.

The spelling of 447640320 in words is "four hundred forty-seven million, six hundred forty thousand, three hundred twenty".