144386400 has 72 divisors (see below), whose sum is σ = 469985544. Its totient is φ = 38502400.

The previous prime is 144386399. The next prime is 144386401. The reversal of 144386400 is 4683441.

It is an interprime number because it is at equal distance from previous prime (144386399) and next prime (144386401).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27681 + ... + 32480.

It is an arithmetic number, because the mean of its divisors is an integer number (6527577).

Almost surely, 2^144386400 is an apocalyptic number.

144386400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144386400 is an abundant number, since it is smaller than the sum of its proper divisors (325599144).

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

144386400 is a wasteful number, since it uses less digits than its factorization.

144386400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60184 (or 60171 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 144386400 is about 12016.0892140496. The cubic root of 144386400 is about 524.6166816471.

The spelling of 144386400 in words is "one hundred forty-four million, three hundred eighty-six thousand, four hundred".