1444952000 has 112 divisors (see below), whose sum is σ = 3734482752. Its totient is φ = 552780800.

The previous prime is 1444951997. The next prime is 1444952017. The reversal of 1444952000 is 2594441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180074 + ... + 187926.

It is an arithmetic number, because the mean of its divisors is an integer number (33343596).

Almost surely, 2^1444952000 is an apocalyptic number.

1444952000 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 1444952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867241376).

1444952000 is an abundant number, since it is smaller than the sum of its proper divisors (2289530752).

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

1444952000 is an equidigital number, since it uses as much as digits as its factorization.

1444952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7903 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 1444952000 is about 38012.5242518831. The cubic root of 1444952000 is about 1130.5362010029.

The spelling of 1444952000 in words is "one billion, four hundred forty-four million, nine hundred fifty-two thousand".