444944160 has 72 divisors (see below), whose sum is σ = 1518376860. Its totient is φ = 118651392.

The previous prime is 444944117. The next prime is 444944173. The reversal of 444944160 is 61449444.

444944160 is a `hidden beast` number, since 4 + 4 + 494 + 4 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 410791824 + 34152336 = 20268^2 + 5844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153055 + ... + 155934.

Almost surely, 2^444944160 is an apocalyptic number.

444944160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444944160 is an abundant number, since it is smaller than the sum of its proper divisors (1073432700).

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

444944160 is a wasteful number, since it uses less digits than its factorization.

444944160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309010 (or 308999 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 444944160 is about 21093.6995332730. The cubic root of 444944160 is about 763.4287369977.

The spelling of 444944160 in words is "four hundred forty-four million, nine hundred forty-four thousand, one hundred sixty".