1444416480 has 576 divisors, whose sum is σ = 5811886080. Its totient is φ = 323481600.

The previous prime is 1444416451. The next prime is 1444416497. The reversal of 1444416480 is 846144441.

1444416480 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 1 + 648 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11026015 + ... + 11026145.

It is an arithmetic number, because the mean of its divisors is an integer number (10090080).

Almost surely, 2^1444416480 is an apocalyptic number.

1444416480 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 1444416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905943040).

1444416480 is an abundant number, since it is smaller than the sum of its proper divisors (4367469600).

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

1444416480 is a wasteful number, since it uses less digits than its factorization.

1444416480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1444416480 is about 38005.4796049201. The cubic root of 1444416480 is about 1130.3965194184.

The spelling of 1444416480 in words is "one billion, four hundred forty-four million, four hundred sixteen thousand, four hundred eighty".