144404416 has 70 divisors (see below), whose sum is σ = 314360560. Its totient is φ = 65804544.

The previous prime is 144404411. The next prime is 144404431. The reversal of 144404416 is 614404441.

144404416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 144404416 = 156³ + 520³ = 403³ + 429³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144404411) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1827865 + ... + 1827943.

Almost surely, 2^144404416 is an apocalyptic number.

144404416 is a gapful number since it is divisible by the number (16) 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 144404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157180280).

144404416 is an abundant number, since it is smaller than the sum of its proper divisors (169956144).

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

144404416 is an frugal number, since it uses more digits than its factorization.

144404416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 144404416 is about 12016.8388522107. The cubic root of 144404416 is about 524.6385006481.

Adding to 144404416 its reverse (614404441), we get a palindrome (758808857).

The spelling of 144404416 in words is "one hundred forty-four million, four hundred four thousand, four hundred sixteen".