144412400 has 120 divisors (see below), whose sum is σ = 395224704. Its totient is φ = 50195200.

The previous prime is 144412393. The next prime is 144412421. The reversal of 144412400 is 4214441.

It is a happy number.

144412400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100487 + ... + 101913.

Almost surely, 2^144412400 is an apocalyptic number.

144412400 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 144412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197612352).

144412400 is an abundant number, since it is smaller than the sum of its proper divisors (250812304).

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

144412400 is a wasteful number, since it uses less digits than its factorization.

144412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 144412400 is about 12017.1710481294. The cubic root of 144412400 is about 524.6481694120.

Adding to 144412400 its reverse (4214441), we get a palindrome (148626841).

The spelling of 144412400 in words is "one hundred forty-four million, four hundred twelve thousand, four hundred".