224067456 has 192 divisors, whose sum is σ = 704106000. Its totient is φ = 68124672.

The previous prime is 224067451. The next prime is 224067491. The reversal of 224067456 is 654760422.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 224067456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224067451) 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, 634576 + ... + 634928.

Almost surely, 2^224067456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224067456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352053000).

224067456 is an abundant number, since it is smaller than the sum of its proper divisors (480038544).

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

224067456 is a wasteful number, since it uses less digits than its factorization.

224067456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 224067456 is about 14968.8829242532. The cubic root of 224067456 is about 607.3787513952.

It can be divided in two parts, 2240 and 67456, that added together give a palindrome (69696).

The spelling of 224067456 in words is "two hundred twenty-four million, sixty-seven thousand, four hundred fifty-six".