447809040 has 240 divisors, whose sum is σ = 1794706560. Its totient is φ = 102332160.

The previous prime is 447809027. The next prime is 447809041. The reversal of 447809040 is 40908744.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 447808986 and 447809004.

It is not an unprimeable number, because it can be changed into a prime (447809041) 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, 103725 + ... + 107955.

It is an arithmetic number, because the mean of its divisors is an integer number (7477944).

Almost surely, 2^447809040 is an apocalyptic number.

447809040 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 447809040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897353280).

447809040 is an abundant number, since it is smaller than the sum of its proper divisors (1346897520).

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

447809040 is a wasteful number, since it uses less digits than its factorization.

447809040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 447809040 is about 21161.4990017248. The cubic root of 447809040 is about 765.0637394027.

The spelling of 447809040 in words is "four hundred forty-seven million, eight hundred nine thousand, forty".