447271968 has 192 divisors, whose sum is σ = 1425199104. Its totient is φ = 120960000.

The previous prime is 447271931. The next prime is 447271969. The reversal of 447271968 is 869172744.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (447271969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425043 + ... + 426093.

It is an arithmetic number, because the mean of its divisors is an integer number (7422912).

Almost surely, 2^447271968 is an apocalyptic number.

447271968 is a gapful number since it is divisible by the number (48) 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 447271968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712599552).

447271968 is an abundant number, since it is smaller than the sum of its proper divisors (977927136).

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

447271968 is a wasteful number, since it uses less digits than its factorization.

447271968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1111 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 447271968 is about 21148.8053563316. The cubic root of 447271968 is about 764.7577617412.

The spelling of 447271968 in words is "four hundred forty-seven million, two hundred seventy-one thousand, nine hundred sixty-eight".