144452400 has 240 divisors, whose sum is σ = 501780384. Its totient is φ = 35389440.

The previous prime is 144452387. The next prime is 144452423. The reversal of 144452400 is 4254441.

It is a happy number.

144452400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 1489152 + ... + 1489248.

Almost surely, 2^144452400 is an apocalyptic number.

144452400 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 144452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250890192).

144452400 is an abundant number, since it is smaller than the sum of its proper divisors (357327984).

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

144452400 is a wasteful number, since it uses less digits than its factorization.

144452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 144452400 is about 12018.8352181066. The cubic root of 144452400 is about 524.6966047483.

The spelling of 144452400 in words is "one hundred forty-four million, four hundred fifty-two thousand, four hundred".