441168016 has 45 divisors (see below), whose sum is σ = 879375481. Its totient is φ = 214408832.

The previous prime is 441168001. The next prime is 441168019. The reversal of 441168016 is 610861144.

The square root of 441168016 is 21004.

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., 84713616 + 356454400 = 9204^2 + 18880^2 .

It is a super-3 number, since 3×441168016³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441168019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4956900 + ... + 4956988.

Almost surely, 2^441168016 is an apocalyptic number.

441168016 is the 21004-th square number.

It is an amenable number.

441168016 is a deficient number, since it is larger than the sum of its proper divisors (438207465).

441168016 is an frugal number, since it uses more digits than its factorization.

441168016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The cubic root of 441168016 is about 761.2629140670.

It can be divided in two parts, 4411 and 68016, that added together give a palindrome (72427).

The spelling of 441168016 in words is "four hundred forty-one million, one hundred sixty-eight thousand, sixteen".