144024400 has 60 divisors (see below), whose sum is σ = 372648892. Its totient is φ = 53176320.

The previous prime is 144024371. The next prime is 144024409. The reversal of 144024400 is 4420441.

It can be written as a sum of positive squares in 6 ways, for example, as 56190016 + 87834384 = 7496^2 + 9372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144024409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8649 + ... + 19048.

Almost surely, 2^144024400 is an apocalyptic number.

144024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144024400 is an abundant number, since it is smaller than the sum of its proper divisors (228624492).

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

144024400 is a wasteful number, since it uses less digits than its factorization.

144024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27728 (or 27717 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 144024400 is about 12001.0166236032. The cubic root of 144024400 is about 524.1778818411.

Adding to 144024400 its reverse (4420441), we get a palindrome (148444841).

The spelling of 144024400 in words is "one hundred forty-four million, twenty-four thousand, four hundred".