441484560 has 320 divisors, whose sum is σ = 1758101760. Its totient is φ = 100638720.

The previous prime is 441484531. The next prime is 441484567. The reversal of 441484560 is 65484144.

It is a happy number.

441484560 is a `hidden beast` number, since 4 + 4 + 14 + 84 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441484567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403374 + ... + 404466.

It is an arithmetic number, because the mean of its divisors is an integer number (5494068).

Almost surely, 2^441484560 is an apocalyptic number.

441484560 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 441484560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879050880).

441484560 is an abundant number, since it is smaller than the sum of its proper divisors (1316617200).

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

441484560 is a wasteful number, since it uses less digits than its factorization.

441484560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 441484560 is about 21011.5339754146. The cubic root of 441484560 is about 761.4449426731. Note that the first 3 decimals are identical.

The spelling of 441484560 in words is "four hundred forty-one million, four hundred eighty-four thousand, five hundred sixty".