447900720 has 80 divisors (see below), whose sum is σ = 1393244160. Its totient is φ = 119031552.

The previous prime is 447900709. The next prime is 447900727. The reversal of 447900720 is 27009744.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (447900727) 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, 70641 + ... + 76719.

It is an arithmetic number, because the mean of its divisors is an integer number (17415552).

Almost surely, 2^447900720 is an apocalyptic number.

447900720 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 447900720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696622080).

447900720 is an abundant number, since it is smaller than the sum of its proper divisors (945343440).

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

447900720 is a wasteful number, since it uses less digits than its factorization.

447900720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 447900720 is about 21163.6650890152. The cubic root of 447900720 is about 765.1159463713.

The spelling of 447900720 in words is "four hundred forty-seven million, nine hundred thousand, seven hundred twenty".