224024200400 has 480 divisors, whose sum is σ = 728329383936. Its totient is φ = 63947520000.

The previous prime is 224024200381. The next prime is 224024200423. The reversal of 224024200400 is 4002420422.

224024200400 is digitally balanced in base 3, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52450265 + ... + 52454535.

Almost surely, 2^224024200400 is an apocalyptic number.

224024200400 is a gapful number since it is divisible by the number (20) 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 224024200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364164691968).

224024200400 is an abundant number, since it is smaller than the sum of its proper divisors (504305183536).

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

224024200400 is a wasteful number, since it uses less digits than its factorization.

224024200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 224024200400 its reverse (4002420422), we get a palindrome (228026620822).

It can be divided in two parts, 224024 and 200400, that added together give a palindrome (424424).

The spelling of 224024200400 in words is "two hundred twenty-four billion, twenty-four million, two hundred thousand, four hundred".