224804800 has 168 divisors, whose sum is σ = 617384592. Its totient is φ = 79872000.

The previous prime is 224804791. The next prime is 224804803. The reversal of 224804800 is 8408422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224804803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 932680 + ... + 932920.

Almost surely, 2^224804800 is an apocalyptic number.

224804800 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 224804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308692296).

224804800 is an abundant number, since it is smaller than the sum of its proper divisors (392579792).

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

224804800 is a wasteful number, since it uses less digits than its factorization.

224804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 224804800 is about 14993.4919214971. The cubic root of 224804800 is about 608.0442603975.

The spelling of 224804800 in words is "two hundred twenty-four million, eight hundred four thousand, eight hundred".