144224400 has 120 divisors (see below), whose sum is σ = 477025024. Its totient is φ = 37209600.

The previous prime is 144224393. The next prime is 144224407. The reversal of 144224400 is 4422441.

It is an interprime number because it is at equal distance from previous prime (144224393) and next prime (144224407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144224407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35262 + ... + 39138.

Almost surely, 2^144224400 is an apocalyptic number.

144224400 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 144224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238512512).

144224400 is an abundant number, since it is smaller than the sum of its proper divisors (332800624).

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

144224400 is a wasteful number, since it uses less digits than its factorization.

144224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 144224400 is about 12009.3463602313. The cubic root of 144224400 is about 524.4204034486.

Adding to 144224400 its reverse (4422441), we get a palindrome (148646841).

The spelling of 144224400 in words is "one hundred forty-four million, two hundred twenty-four thousand, four hundred".