441000144 has 60 divisors (see below), whose sum is σ = 1329131076. Its totient is φ = 135691776.

The previous prime is 441000143. The next prime is 441000149.

441000144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 65415744 + 375584400 = 8088^2 + 19380^2 .

It is a super-2 number, since 2×441000144² = 388962254016041472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441000143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115917 + ... + 119660.

Almost surely, 2^441000144 is an apocalyptic number.

It is an amenable number.

441000144 is an abundant number, since it is smaller than the sum of its proper divisors (888130932).

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

441000144 is a wasteful number, since it uses less digits than its factorization.

441000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235604 (or 235595 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 441000144 is about 21000.0034285711. The cubic root of 441000144 is about 761.1663439500.

It can be divided in two parts, 441000 and 144, that added together give a palindrome (441144).

The spelling of 441000144 in words is "four hundred forty-one million, one hundred forty-four", and thus it is an aban number.