224868420 has 384 divisors, whose sum is σ = 877363200. Its totient is φ = 46656000.

The previous prime is 224868383. The next prime is 224868421. The reversal of 224868420 is 24868422.

It is a happy number.

224868420 is a `hidden beast` number, since 224 + 8 + 6 + 8 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (224868421) 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 127 ways as a sum of consecutive naturals, for example, 2226370 + ... + 2226470.

It is an arithmetic number, because the mean of its divisors is an integer number (2284800).

Almost surely, 2^224868420 is an apocalyptic number.

224868420 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 224868420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438681600).

224868420 is an abundant number, since it is smaller than the sum of its proper divisors (652494780).

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

224868420 is a wasteful number, since it uses less digits than its factorization.

224868420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 224868420 is about 14995.6133585792. The cubic root of 224868420 is about 608.1016140472.

224868420 divided by its sum of digits (36) gives a triangular number (6246345 = T₃₅₃₄).

The spelling of 224868420 in words is "two hundred twenty-four million, eight hundred sixty-eight thousand, four hundred twenty".