1444020480 has 576 divisors, whose sum is σ = 6028001280. Its totient is φ = 320495616.

The previous prime is 1444020449. The next prime is 1444020491. The reversal of 1444020480 is 840204441.

It is a happy number.

1444020480 is a `hidden beast` number, since 14 + 440 + 204 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11370177 + ... + 11370303.

It is an arithmetic number, because the mean of its divisors is an integer number (10465280).

Almost surely, 2^1444020480 is an apocalyptic number.

1444020480 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 1444020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014000640).

1444020480 is an abundant number, since it is smaller than the sum of its proper divisors (4583980800).

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

1444020480 is a wasteful number, since it uses less digits than its factorization.

1444020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 1444020480 is about 38000.2694727287. The cubic root of 1444020480 is about 1130.2932071253.

The spelling of 1444020480 in words is "one billion, four hundred forty-four million, twenty thousand, four hundred eighty".