444556560 has 160 divisors (see below), whose sum is σ = 1597612032. Its totient is φ = 100154880.

The previous prime is 444556531. The next prime is 444556561. The reversal of 444556560 is 65655444.

It is not an unprimeable number, because it can be changed into a prime (444556561) 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, 117417 + ... + 121143.

Almost surely, 2^444556560 is an apocalyptic number.

444556560 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 444556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798806016).

444556560 is an abundant number, since it is smaller than the sum of its proper divisors (1153055472).

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

444556560 is a wasteful number, since it uses less digits than its factorization.

444556560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The square root of 444556560 is about 21084.5099539923. The cubic root of 444556560 is about 763.2069931104.

It can be divided in two parts, 44455 and 6560, that added together give a palindrome (51015).

The spelling of 444556560 in words is "four hundred forty-four million, five hundred fifty-six thousand, five hundred sixty".