444282160 has 80 divisors (see below), whose sum is σ = 1184781312. Its totient is φ = 151776000.

The previous prime is 444282107. The next prime is 444282169. The reversal of 444282160 is 61282444.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (444282169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172885 + ... + 175435.

Almost surely, 2^444282160 is an apocalyptic number.

444282160 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 444282160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592390656).

444282160 is an abundant number, since it is smaller than the sum of its proper divisors (740499152).

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

444282160 is a wasteful number, since it uses less digits than its factorization.

444282160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 444282160 is about 21078.0018028275. The cubic root of 444282160 is about 763.0499324038.

The spelling of 444282160 in words is "four hundred forty-four million, two hundred eighty-two thousand, one hundred sixty".