1449144000 has 224 divisors, whose sum is σ = 5317540800. Its totient is φ = 386380800.

The previous prime is 1449143987. The next prime is 1449144001. The reversal of 1449144000 is 4419441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1449144001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212646 + ... + 219354.

Almost surely, 2^1449144000 is an apocalyptic number.

1449144000 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 1449144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658770400).

1449144000 is an abundant number, since it is smaller than the sum of its proper divisors (3868396800).

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

1449144000 is an equidigital number, since it uses as much as digits as its factorization.

1449144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6745 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1449144000 is about 38067.6240393330. The cubic root of 1449144000 is about 1131.6284246202.

The spelling of 1449144000 in words is "one billion, four hundred forty-nine million, one hundred forty-four thousand".