1444452400 has 120 divisors (see below), whose sum is σ = 3551210208. Its totient is φ = 564480000.

The previous prime is 1444452319. The next prime is 1444452421. The reversal of 1444452400 is 42544441.

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 23 ways as a sum of consecutive naturals, for example, 5140260 + ... + 5140540.

Almost surely, 2^1444452400 is an apocalyptic number.

1444452400 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 1444452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775605104).

1444452400 is an abundant number, since it is smaller than the sum of its proper divisors (2106757808).

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

1444452400 is a wasteful number, since it uses less digits than its factorization.

1444452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 1444452400 is about 38005.9521654175. The cubic root of 1444452400 is about 1130.4058896397.

Adding to 1444452400 its reverse (42544441), we get a palindrome (1486996841).

It can be divided in two parts, 144 and 4452400, that added together give a palindrome (4452544).

The spelling of 1444452400 in words is "one billion, four hundred forty-four million, four hundred fifty-two thousand, four hundred".