441626144 has 24 divisors (see below), whose sum is σ = 877435020. Its totient is φ = 218785536.

The previous prime is 441626131. The next prime is 441626149.

441626144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 430147600 + 11478544 = 20740^2 + 3388^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 441626144.

It is not an unprimeable number, because it can be changed into a prime (441626149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59819 + ... + 66794.

Almost surely, 2^441626144 is an apocalyptic number.

It is an amenable number.

441626144 is a deficient number, since it is larger than the sum of its proper divisors (435808876).

441626144 is a wasteful number, since it uses less digits than its factorization.

441626144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126732 (or 126724 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 441626144 is about 21014.9029024642. The cubic root of 441626144 is about 761.5263323809.

The spelling of 441626144 in words is "four hundred forty-one million, six hundred twenty-six thousand, one hundred forty-four".