224455680 has 132 divisors (see below), whose sum is σ = 777892752. Its totient is φ = 59842560.

The previous prime is 224455667. The next prime is 224455687. The reversal of 224455680 is 86554422.

It is a happy number.

224455680 is a `hidden beast` number, since 2 + 24 + 4 + 556 + 80 = 666.

224455680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (224455687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43645 + ... + 48515.

Almost surely, 2^224455680 is an apocalyptic number.

224455680 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 224455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388946376).

224455680 is an abundant number, since it is smaller than the sum of its proper divisors (553437072).

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

224455680 is a wasteful number, since it uses less digits than its factorization.

224455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 224455680 is about 14981.8450132152. The cubic root of 224455680 is about 607.7293347420.

The spelling of 224455680 in words is "two hundred twenty-four million, four hundred fifty-five thousand, six hundred eighty".