444746160 has 160 divisors (see below), whose sum is σ = 1546776000. Its totient is φ = 117448704.

The previous prime is 444746153. The next prime is 444746173. The reversal of 444746160 is 61647444.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234496 + ... + 236384.

It is an arithmetic number, because the mean of its divisors is an integer number (9667350).

Almost surely, 2^444746160 is an apocalyptic number.

444746160 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 444746160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773388000).

444746160 is an abundant number, since it is smaller than the sum of its proper divisors (1102029840).

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

444746160 is a wasteful number, since it uses less digits than its factorization.

444746160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 444746160 is about 21089.0056664604. The cubic root of 444746160 is about 763.3154783532.

The spelling of 444746160 in words is "four hundred forty-four million, seven hundred forty-six thousand, one hundred sixty".