144389400 has 96 divisors (see below), whose sum is σ = 467112960. Its totient is φ = 36826240.

The previous prime is 144389389. The next prime is 144389411. The reversal of 144389400 is 4983441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144389389) and next prime (144389411).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8569 + ... + 19031.

It is an arithmetic number, because the mean of its divisors is an integer number (4865760).

Almost surely, 2^144389400 is an apocalyptic number.

144389400 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 144389400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233556480).

144389400 is an abundant number, since it is smaller than the sum of its proper divisors (322723560).

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

144389400 is a wasteful number, since it uses less digits than its factorization.

144389400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10505 (or 10496 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 144389400 is about 12016.2140460296. The cubic root of 144389400 is about 524.6203150436.

The spelling of 144389400 in words is "one hundred forty-four million, three hundred eighty-nine thousand, four hundred".