1444348800 has 384 divisors, whose sum is σ = 5381724000. Its totient is φ = 378224640.

The previous prime is 1444348793. The next prime is 1444348813. The reversal of 1444348800 is 88434441.

1444348800 is a `hidden beast` number, since 144 + 434 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1444348800² = 4172286912122880000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6307086 + ... + 6307314.

Almost surely, 2^1444348800 is an apocalyptic number.

1444348800 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 1444348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690862000).

1444348800 is an abundant number, since it is smaller than the sum of its proper divisors (3937375200).

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

1444348800 is a wasteful number, since it uses less digits than its factorization.

1444348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 312 counting only the distinct ones).

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

The square root of 1444348800 is about 38004.5891965694. The cubic root of 1444348800 is about 1130.3788637462.

The spelling of 1444348800 in words is "one billion, four hundred forty-four million, three hundred forty-eight thousand, eight hundred".