441672256 has 63 divisors (see below), whose sum is σ = 913636857. Its totient is φ = 211841280.

The previous prime is 441672229. The next prime is 441672263. The reversal of 441672256 is 652276144.

The square root of 441672256 is 21016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 395214400 + 46457856 = 19880^2 + 6816^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 6220701 + ... + 6220771.

Almost surely, 2^441672256 is an apocalyptic number.

441672256 is the 21016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441672256

441672256 is an abundant number, since it is smaller than the sum of its proper divisors (471964601).

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

441672256 is an frugal number, since it uses more digits than its factorization.

441672256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 110 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The cubic root of 441672256 is about 761.5528361561.

The spelling of 441672256 in words is "four hundred forty-one million, six hundred seventy-two thousand, two hundred fifty-six".