444555360 has 144 divisors (see below), whose sum is σ = 1528647120. Its totient is φ = 117642240.

The previous prime is 444555359. The next prime is 444555403. The reversal of 444555360 is 63555444.

444555360 is a `hidden beast` number, since 4 + 4 + 45 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199050 + ... + 201270.

It is an arithmetic number, because the mean of its divisors is an integer number (10615605).

Almost surely, 2^444555360 is an apocalyptic number.

444555360 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 444555360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764323560).

444555360 is an abundant number, since it is smaller than the sum of its proper divisors (1084091760).

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

444555360 is a wasteful number, since it uses less digits than its factorization.

444555360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 444555360 is about 21084.4814970632. The cubic root of 444555360 is about 763.2063063967.

The spelling of 444555360 in words is "four hundred forty-four million, five hundred fifty-five thousand, three hundred sixty".