1444896000 has 432 divisors, whose sum is σ = 5409527760. Its totient is φ = 369868800.

The previous prime is 1444895999. The next prime is 1444896023. The reversal of 1444896000 is 6984441.

It is a happy number.

1444896000 is a `hidden beast` number, since 1 + 4 + 4 + 48 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 172975104 + 1271920896 = 13152^2 + 35664^2 .

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 47 ways as a sum of consecutive naturals, for example, 8351914 + ... + 8352086.

It is an arithmetic number, because the mean of its divisors is an integer number (12522055).

Almost surely, 2^1444896000 is an apocalyptic number.

1444896000 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 1444896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704763880).

1444896000 is an abundant number, since it is smaller than the sum of its proper divisors (3964631760).

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

1444896000 is a wasteful number, since it uses less digits than its factorization.

1444896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1444896000 is about 38011.7876454134. The cubic root of 1444896000 is about 1130.5215959399.

The spelling of 1444896000 in words is "one billion, four hundred forty-four million, eight hundred ninety-six thousand".