144442400 has 72 divisors (see below), whose sum is σ = 357727104. Its totient is φ = 56940800.

The previous prime is 144442393. The next prime is 144442429. The reversal of 144442400 is 4244441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55529 + ... + 58071.

It is an arithmetic number, because the mean of its divisors is an integer number (4968432).

Almost surely, 2^144442400 is an apocalyptic number.

144442400 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 144442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178863552).

144442400 is an abundant number, since it is smaller than the sum of its proper divisors (213284704).

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

144442400 is a wasteful number, since it uses less digits than its factorization.

144442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 144442400 is about 12018.4191972156. The cubic root of 144442400 is about 524.6844967526.

Adding to 144442400 its reverse (4244441), we get a palindrome (148686841).

The spelling of 144442400 in words is "one hundred forty-four million, four hundred forty-two thousand, four hundred".