444665760 has 384 divisors, whose sum is σ = 1787111424. Its totient is φ = 90255360.

The previous prime is 444665747. The next prime is 444665761. The reversal of 444665760 is 67566444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (444665761) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1958767 + ... + 1958993.

It is an arithmetic number, because the mean of its divisors is an integer number (4653936).

Almost surely, 2^444665760 is an apocalyptic number.

444665760 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 444665760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893555712).

444665760 is an abundant number, since it is smaller than the sum of its proper divisors (1342445664).

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

444665760 is a wasteful number, since it uses less digits than its factorization.

444665760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 444665760 is about 21087.0993737878. The cubic root of 444665760 is about 763.2694788832.

The spelling of 444665760 in words is "four hundred forty-four million, six hundred sixty-five thousand, seven hundred sixty".