444265440 has 96 divisors (see below), whose sum is σ = 1422471456. Its totient is φ = 116520960.

The previous prime is 444265439. The next prime is 444265453. The reversal of 444265440 is 44562444.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21694 + ... + 36866.

It is an arithmetic number, because the mean of its divisors is an integer number (14817411).

Almost surely, 2^444265440 is an apocalyptic number.

444265440 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 444265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711235728).

444265440 is an abundant number, since it is smaller than the sum of its proper divisors (978206016).

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

444265440 is a wasteful number, since it uses less digits than its factorization.

444265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15252 (or 15244 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The square root of 444265440 is about 21077.6051770594. The cubic root of 444265440 is about 763.0403601424.

The spelling of 444265440 in words is "four hundred forty-four million, two hundred sixty-five thousand, four hundred forty".