1444412400 has 120 divisors (see below), whose sum is σ = 4637386224. Its totient is φ = 384307200.

The previous prime is 1444412369. The next prime is 1444412477. The reversal of 1444412400 is 42144441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667320 + ... + 669480.

Almost surely, 2^1444412400 is an apocalyptic number.

1444412400 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 1444412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318693112).

1444412400 is an abundant number, since it is smaller than the sum of its proper divisors (3192973824).

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

1444412400 is a wasteful number, since it uses less digits than its factorization.

1444412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1444412400 is about 38005.4259284119. The cubic root of 1444412400 is about 1130.3954550850.

Adding to 1444412400 its reverse (42144441), we get a palindrome (1486556841).

The spelling of 1444412400 in words is "one billion, four hundred forty-four million, four hundred twelve thousand, four hundred".