144386406 has 72 divisors (see below), whose sum is σ = 342966312. Its totient is φ = 43747200.

The previous prime is 144386401. The next prime is 144386413. The reversal of 144386406 is 604683441.

144386406 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 8 + 640 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144386401) 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 35 ways as a sum of consecutive naturals, for example, 293821 + ... + 294311.

It is an arithmetic number, because the mean of its divisors is an integer number (4763421).

Almost surely, 2^144386406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144386406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171483156).

144386406 is an abundant number, since it is smaller than the sum of its proper divisors (198579906).

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

144386406 is a wasteful number, since it uses less digits than its factorization.

144386406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 144386406 is about 12016.0894637149. The cubic root of 144386406 is about 524.6166889139.

The spelling of 144386406 in words is "one hundred forty-four million, three hundred eighty-six thousand, four hundred six".