144404352 has 96 divisors (see below), whose sum is σ = 419917680. Its totient is φ = 47628288.

The previous prime is 144404333. The next prime is 144404353. The reversal of 144404352 is 253404441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144404353) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 118048 + ... + 119264.

Almost surely, 2^144404352 is an apocalyptic number.

144404352 is a gapful number since it is divisible by the number (12) 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 144404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209958840).

144404352 is an abundant number, since it is smaller than the sum of its proper divisors (275513328).

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

144404352 is a wasteful number, since it uses less digits than its factorization.

144404352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 144404352 is about 12016.8361892804. The cubic root of 144404352 is about 524.6384231416.

Adding to 144404352 its reverse (253404441), we get a palindrome (397808793).

It can be divided in two parts, 144 and 404352, that added together give a square (404496 = 636²).

The spelling of 144404352 in words is "one hundred forty-four million, four hundred four thousand, three hundred fifty-two".