144424800 has 216 divisors, whose sum is σ = 548808624. Its totient is φ = 35527680.

The previous prime is 144424789. The next prime is 144424823. The reversal of 144424800 is 8424441.

It is a happy number.

144424800 is a `hidden beast` number, since 144 + 42 + 480 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92829 + ... + 94371.

Almost surely, 2^144424800 is an apocalyptic number.

144424800 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 144424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274404312).

144424800 is an abundant number, since it is smaller than the sum of its proper divisors (404383824).

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

144424800 is a wasteful number, since it uses less digits than its factorization.

144424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 144424800 is about 12017.6869654689. The cubic root of 144424800 is about 524.6631853227.

It can be divided in two parts, 1444 and 24800, that added together give a square (26244 = 162²).

The spelling of 144424800 in words is "one hundred forty-four million, four hundred twenty-four thousand, eight hundred".