144304400 has 60 divisors (see below), whose sum is σ = 347989632. Its totient is φ = 57505920.

The previous prime is 144304393. The next prime is 144304417. The reversal of 144304400 is 4403441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 146309 + ... + 147291.

Almost surely, 2^144304400 is an apocalyptic number.

144304400 is a gapful number since it is divisible by the number (10) 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 144304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173994816).

144304400 is an abundant number, since it is smaller than the sum of its proper divisors (203685232).

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

144304400 is a wasteful number, since it uses less digits than its factorization.

144304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 144304400 is about 12012.6766376191. The cubic root of 144304400 is about 524.5173493134.

Adding to 144304400 its reverse (4403441), we get a palindrome (148707841).

The spelling of 144304400 in words is "one hundred forty-four million, three hundred four thousand, four hundred".