1444248000 has 336 divisors, whose sum is σ = 5567330496. Its totient is φ = 355276800.

The previous prime is 1444247989. The next prime is 1444248011. The reversal of 1444248000 is 8424441.

It is a happy number.

1444248000 is a `hidden beast` number, since 144 + 42 + 480 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1444247989) and next prime (1444248011).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935229 + ... + 936771.

It is an arithmetic number, because the mean of its divisors is an integer number (16569436).

Almost surely, 2^1444248000 is an apocalyptic number.

1444248000 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 1444248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783665248).

1444248000 is an abundant number, since it is smaller than the sum of its proper divisors (4123082496).

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

1444248000 is a wasteful number, since it uses less digits than its factorization.

1444248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1566 counting only the distinct ones).

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

The square root of 1444248000 is about 38003.2630177989. The cubic root of 1444248000 is about 1130.3525670419.

The spelling of 1444248000 in words is "one billion, four hundred forty-four million, two hundred forty-eight thousand".