444346560 has 560 divisors, whose sum is σ = 1888296960. Its totient is φ = 97044480.

The previous prime is 444346421. The next prime is 444346589. The reversal of 444346560 is 65643444.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5624601 + ... + 5624679.

Almost surely, 2^444346560 is an apocalyptic number.

444346560 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 444346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944148480).

444346560 is an abundant number, since it is smaller than the sum of its proper divisors (1443950400).

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

444346560 is a wasteful number, since it uses less digits than its factorization.

444346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 444346560 is about 21079.5294065119. The cubic root of 444346560 is about 763.0867993966.

The spelling of 444346560 in words is "four hundred forty-four million, three hundred forty-six thousand, five hundred sixty".