1444404960 has 240 divisors, whose sum is σ = 5186689200. Its totient is φ = 378445824.

The previous prime is 1444404869. The next prime is 1444404967. The reversal of 1444404960 is 694044441.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444404967) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 763696 + ... + 765584.

It is an arithmetic number, because the mean of its divisors is an integer number (21611205).

Almost surely, 2^1444404960 is an apocalyptic number.

1444404960 is a gapful number since it is divisible by the number (10) 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 1444404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593344600).

1444404960 is an abundant number, since it is smaller than the sum of its proper divisors (3742284240).

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

1444404960 is a wasteful number, since it uses less digits than its factorization.

1444404960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1958 counting only the distinct ones).

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

The square root of 1444404960 is about 38005.3280475251. The cubic root of 1444404960 is about 1130.3935142365.

The spelling of 1444404960 in words is "one billion, four hundred forty-four million, four hundred four thousand, nine hundred sixty".