447726144 has 112 divisors (see below), whose sum is σ = 1261872000. Its totient is φ = 139616256.

The previous prime is 447726133. The next prime is 447726193. The reversal of 447726144 is 441627744.

It is a happy number.

It is a super-2 number, since 2×447726144² = 400917400042217472, which contains 22 as substring.

It is an unprimeable number.

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, 747157 + ... + 747755.

Almost surely, 2^447726144 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 447726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630936000).

447726144 is an abundant number, since it is smaller than the sum of its proper divisors (814145856).

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

447726144 is a wasteful number, since it uses less digits than its factorization.

447726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 850 counting only the distinct ones).

The product of its digits is 150528, while the sum is 39.

The square root of 447726144 is about 21159.5402596559. The cubic root of 447726144 is about 765.0165283284.

The spelling of 447726144 in words is "four hundred forty-seven million, seven hundred twenty-six thousand, one hundred forty-four".