224663040 has 360 divisors, whose sum is σ = 909651600. Its totient is φ = 51093504.

The previous prime is 224663039. The next prime is 224663053. The reversal of 224663040 is 40366422.

224663040 is a `hidden beast` number, since 2 + 24 + 6 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 224662995 and 224663013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128861 + ... + 1129059.

It is an arithmetic number, because the mean of its divisors is an integer number (2526810).

Almost surely, 2^224663040 is an apocalyptic number.

224663040 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 224663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454825800).

224663040 is an abundant number, since it is smaller than the sum of its proper divisors (684988560).

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

224663040 is a wasteful number, since it uses less digits than its factorization.

224663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 224663040 is about 14988.7637915874. The cubic root of 224663040 is about 607.9164243386.

The spelling of 224663040 in words is "two hundred twenty-four million, six hundred sixty-three thousand, forty".