444443160 has 256 divisors, whose sum is σ = 1586304000. Its totient is φ = 97523712.

The previous prime is 444443101. The next prime is 444443221. The reversal of 444443160 is 61344444.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2982766 + ... + 2982914.

It is an arithmetic number, because the mean of its divisors is an integer number (6196500).

Almost surely, 2^444443160 is an apocalyptic number.

444443160 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 444443160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793152000).

444443160 is an abundant number, since it is smaller than the sum of its proper divisors (1141860840).

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

444443160 is a wasteful number, since it uses less digits than its factorization.

444443160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 444443160 is about 21081.8206044924. The cubic root of 444443160 is about 763.1420932073.

The spelling of 444443160 in words is "four hundred forty-four million, four hundred forty-three thousand, one hundred sixty".