444385760 has 192 divisors, whose sum is σ = 1349332992. Its totient is φ = 134424576.

The previous prime is 444385751. The next prime is 444385769. The reversal of 444385760 is 67583444.

It is an interprime number because it is at equal distance from previous prime (444385751) and next prime (444385769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444385769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334217 + ... + 335543.

It is an arithmetic number, because the mean of its divisors is an integer number (7027776).

Almost surely, 2^444385760 is an apocalyptic number.

444385760 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 444385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674666496).

444385760 is an abundant number, since it is smaller than the sum of its proper divisors (904947232).

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

444385760 is a wasteful number, since it uses less digits than its factorization.

444385760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The square root of 444385760 is about 21080.4591980346. The cubic root of 444385760 is about 763.1092384308.

The spelling of 444385760 in words is "four hundred forty-four million, three hundred eighty-five thousand, seven hundred sixty".