1449812000 has 288 divisors, whose sum is σ = 4470364080. Its totient is φ = 458035200.

The previous prime is 1449811981. The next prime is 1449812011. The reversal of 1449812000 is 2189441.

It can be written as a sum of positive squares in 8 ways, for example, as 56731024 + 1393080976 = 7532^2 + 37324^2 .

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, 2547716 + ... + 2548284.

Almost surely, 2^1449812000 is an apocalyptic number.

1449812000 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 1449812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235182040).

1449812000 is an abundant number, since it is smaller than the sum of its proper divisors (3020552080).

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

1449812000 is a wasteful number, since it uses less digits than its factorization.

1449812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 1449812000 is about 38076.3968883612. The cubic root of 1449812000 is about 1131.8022770614.

The spelling of 1449812000 in words is "one billion, four hundred forty-nine million, eight hundred twelve thousand".