447134272 has 112 divisors (see below), whose sum is σ = 1025024112. Its totient is φ = 191692800.

The previous prime is 447134269. The next prime is 447134279. The reversal of 447134272 is 272431744.

It can be written as a sum of positive squares in 8 ways, for example, as 5125696 + 442008576 = 2264^2 + 21024^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447134279) 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, 1428388 + ... + 1428700.

It is an arithmetic number, because the mean of its divisors is an integer number (9152001).

Almost surely, 2^447134272 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 447134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512512056).

447134272 is an abundant number, since it is smaller than the sum of its proper divisors (577889840).

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

447134272 is a wasteful number, since it uses less digits than its factorization.

447134272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 446 counting only the distinct ones).

The product of its digits is 37632, while the sum is 34.

The square root of 447134272 is about 21145.5496972767. The cubic root of 447134272 is about 764.6792748993.

The spelling of 447134272 in words is "four hundred forty-seven million, one hundred thirty-four thousand, two hundred seventy-two".