It is a tau number, because it is divible by the number of its divisors (840).
It is an unprimeable number.
Almost surely, 2224078400 is an apocalyptic number.
224078400 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 224078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533542240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224078400 is a wasteful number, since it uses less digits than its factorization.
224078400 is an evil number, because the sum of its binary digits is even.
The square root of 224078400 is about 14969.2484781301. The cubic root of 224078400 is about 607.3886398531.
The spelling of 224078400 in words is "two hundred twenty-four million, seventy-eight thousand, four hundred".