441610144 has 48 divisors (see below), whose sum is σ = 902210400. Its totient is φ = 212525824.

The previous prime is 441610123. The next prime is 441610157. The reversal of 441610144 is 441016144.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432867 + ... + 433885.

It is an arithmetic number, because the mean of its divisors is an integer number (18796050).

Almost surely, 2^441610144 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 441610144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451105200).

441610144 is an abundant number, since it is smaller than the sum of its proper divisors (460600256).

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

441610144 is a wasteful number, since it uses less digits than its factorization.

441610144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 441610144 is about 21014.5222167909. The cubic root of 441610144 is about 761.5171356364.

Adding to 441610144 its reverse (441016144), we get a palindrome (882626288).

The spelling of 441610144 in words is "four hundred forty-one million, six hundred ten thousand, one hundred forty-four".