444909001560 has 128 divisors (see below), whose sum is σ = 1408891968000. Its totient is φ = 112084770816.

The previous prime is 444909001549. The next prime is 444909001567. The reversal of 444909001560 is 65100909444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444909001567) 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, 546744 + ... + 1090296.

It is an arithmetic number, because the mean of its divisors is an integer number (11006968500).

Almost surely, 2^444909001560 is an apocalyptic number.

444909001560 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 444909001560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704445984000).

444909001560 is an abundant number, since it is smaller than the sum of its proper divisors (963982966440).

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

444909001560 is a wasteful number, since it uses less digits than its factorization.

444909001560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543945 (or 543941 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 444909001560 in words is "four hundred forty-four billion, nine hundred nine million, one thousand, five hundred sixty".