224449920 has 256 divisors, whose sum is σ = 822528000. Its totient is φ = 57784320.

The previous prime is 224449913. The next prime is 224449921. The reversal of 224449920 is 29944422.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224449921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535471 + ... + 535889.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 2^224449920 is an apocalyptic number.

224449920 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 224449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411264000).

224449920 is an abundant number, since it is smaller than the sum of its proper divisors (598078080).

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

224449920 is a wasteful number, since it uses less digits than its factorization.

224449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 224449920 is about 14981.6527793164. The cubic root of 224449920 is about 607.7241361642.

The spelling of 224449920 in words is "two hundred twenty-four million, four hundred forty-nine thousand, nine hundred twenty".