441430440 has 128 divisors (see below), whose sum is σ = 1455822720. Its totient is φ = 106188800.

The previous prime is 441430427. The next prime is 441430441. The reversal of 441430440 is 44034144.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 441430440.

It is not an unprimeable number, because it can be changed into a prime (441430441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179620 + ... + 182060.

It is an arithmetic number, because the mean of its divisors is an integer number (11373615).

Almost surely, 2^441430440 is an apocalyptic number.

441430440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727911360).

441430440 is an abundant number, since it is smaller than the sum of its proper divisors (1014392280).

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

441430440 is a wasteful number, since it uses less digits than its factorization.

441430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 441430440 is about 21010.2460718574. The cubic root of 441430440 is about 761.4138271385.

Adding to 441430440 its reverse (44034144), we get a palindrome (485464584).

The spelling of 441430440 in words is "four hundred forty-one million, four hundred thirty thousand, four hundred forty".