224959680 has 336 divisors, whose sum is σ = 878701824. Its totient is φ = 54328320.

The previous prime is 224959627. The next prime is 224959681. The reversal of 224959680 is 86959422.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (224959681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855229 + ... + 855491.

It is an arithmetic number, because the mean of its divisors is an integer number (2615184).

Almost surely, 2^224959680 is an apocalyptic number.

224959680 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 224959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439350912).

224959680 is an abundant number, since it is smaller than the sum of its proper divisors (653742144).

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

224959680 is a wasteful number, since it uses less digits than its factorization.

224959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 224959680 is about 14998.6559397834. The cubic root of 224959680 is about 608.1838663670.

The spelling of 224959680 in words is "two hundred twenty-four million, nine hundred fifty-nine thousand, six hundred eighty".