447181056 has 324 divisors, whose sum is σ = 1594878012. Its totient is φ = 119734272.

The previous prime is 447181051. The next prime is 447181061. The reversal of 447181056 is 650181744.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (447181051) and next prime (447181061).

It can be written as a sum of positive squares in 2 ways, for example, as 218566656 + 228614400 = 14784^2 + 15120^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 447181056.

It is not an unprimeable number, because it can be changed into a prime (447181051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1919116 + ... + 1919348.

It is an arithmetic number, because the mean of its divisors is an integer number (4922463).

Almost surely, 2^447181056 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 447181056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797439006).

447181056 is an abundant number, since it is smaller than the sum of its proper divisors (1147696956).

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

447181056 is a wasteful number, since it uses less digits than its factorization.

447181056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 447181056 is about 21146.6559058401. The cubic root of 447181056 is about 764.7059436278.

It can be divided in two parts, 447 and 181056, that added together give a triangular number (181503 = T₆₀₂).

The spelling of 447181056 in words is "four hundred forty-seven million, one hundred eighty-one thousand, fifty-six".