441312064 has 28 divisors (see below), whose sum is σ = 890092708. Its totient is φ = 217036800.

The previous prime is 441312059. The next prime is 441312089. The reversal of 441312064 is 460213144.

It can be written as a sum of positive squares in 2 ways, for example, as 130142464 + 311169600 = 11408^2 + 17640^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 52617 + ... + 60424.

Almost surely, 2^441312064 is an apocalyptic number.

It is an amenable number.

441312064 is an abundant number, since it is smaller than the sum of its proper divisors (448780644).

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

441312064 is a wasteful number, since it uses less digits than its factorization.

441312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113114 (or 113104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 441312064 is about 21007.4287812669. The cubic root of 441312064 is about 761.3457596522.

The spelling of 441312064 in words is "four hundred forty-one million, three hundred twelve thousand, sixty-four".