441780224 has 48 divisors (see below), whose sum is σ = 935379900. Its totient is φ = 207880192.

The previous prime is 441780217. The next prime is 441780271. The reversal of 441780224 is 422087144.

It can be written as a sum of positive squares in 2 ways, for example, as 439321600 + 2458624 = 20960^2 + 1568^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28472 + ... + 41160.

Almost surely, 2^441780224 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 441780224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467689950).

441780224 is an abundant number, since it is smaller than the sum of its proper divisors (493599676).

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

441780224 is a wasteful number, since it uses less digits than its factorization.

441780224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12728 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 441780224 is about 21018.5685525918. The cubic root of 441780224 is about 761.6148856634.

The spelling of 441780224 in words is "four hundred forty-one million, seven hundred eighty thousand, two hundred twenty-four".