1444401200 has 120 divisors (see below), whose sum is σ = 3818337456. Its totient is φ = 525043200.

The previous prime is 1444401199. The next prime is 1444401253. The reversal of 1444401200 is 21044441.

It is a happy number.

It is a super-2 number, since 2×1444401200² = 4172589653122880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531044 + ... + 533756.

Almost surely, 2^1444401200 is an apocalyptic number.

1444401200 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 1444401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909168728).

1444401200 is an abundant number, since it is smaller than the sum of its proper divisors (2373936256).

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

1444401200 is a wasteful number, since it uses less digits than its factorization.

1444401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1444401200 is about 38005.2785807445. The cubic root of 1444401200 is about 1130.3925333751.

Adding to 1444401200 its reverse (21044441), we get a palindrome (1465445641).

The spelling of 1444401200 in words is "one billion, four hundred forty-four million, four hundred one thousand, two hundred".