424144000 has 192 divisors, whose sum is σ = 1228963320. Its totient is φ = 145152000.

The previous prime is 424143991. The next prime is 424144003. The reversal of 424144000 is 441424.

It can be written as a sum of positive squares in 4 ways, for example, as 105021504 + 319122496 = 10248^2 + 17864^2 .

It is not an unprimeable number, because it can be changed into a prime (424144003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783730 + ... + 784270.

Almost surely, 2^424144000 is an apocalyptic number.

424144000 is a gapful number since it is divisible by the number (40) 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 424144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614481660).

424144000 is an abundant number, since it is smaller than the sum of its proper divisors (804819320).

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

424144000 is an equidigital number, since it uses as much as digits as its factorization.

424144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 424144000 is about 20594.7566142453. The cubic root of 424144000 is about 751.3421891973.

Adding to 424144000 its reverse (441424), we get a palindrome (424585424).

The spelling of 424144000 in words is "four hundred twenty-four million, one hundred forty-four thousand".