447840100 has 72 divisors (see below), whose sum is σ = 989936640. Its totient is φ = 175835520.

The previous prime is 447840067. The next prime is 447840109. The reversal of 447840100 is 1048744.

It is not an unprimeable number, because it can be changed into a prime (447840109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2273202 + ... + 2273398.

It is an arithmetic number, because the mean of its divisors is an integer number (13749120).

Almost surely, 2^447840100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447840100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320).

447840100 is an abundant number, since it is smaller than the sum of its proper divisors (542096540).

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

447840100 is a wasteful number, since it uses less digits than its factorization.

447840100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 447840100 is about 21162.2328689579. The cubic root of 447840100 is about 765.0814272475.

Adding to 447840100 its reverse (1048744), we get a palindrome (448888844).

The spelling of 447840100 in words is "four hundred forty-seven million, eight hundred forty thousand, one hundred".