444380160 has 176 divisors, whose sum is σ = 1624761216. Its totient is φ = 101548032.

The previous prime is 444380149. The next prime is 444380161. The reversal of 444380160 is 61083444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444380161) 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, 105454 + ... + 109586.

Almost surely, 2^444380160 is an apocalyptic number.

444380160 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 444380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812380608).

444380160 is an abundant number, since it is smaller than the sum of its proper divisors (1180381056).

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

444380160 is a wasteful number, since it uses less digits than its factorization.

444380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 444380160 is about 21080.3263731850. The cubic root of 444380160 is about 763.1060329352.

The spelling of 444380160 in words is "four hundred forty-four million, three hundred eighty thousand, one hundred sixty".