224640000 has 440 divisors, whose sum is σ = 895275920. Its totient is φ = 55296000.

The previous prime is 224639993. The next prime is 224640001. The reversal of 224640000 is 46422.

224640000 is a `hidden beast` number, since 2 + 24 + 640 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224640001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17279994 + ... + 17280006.

It is an arithmetic number, because the mean of its divisors is an integer number (2034718).

Almost surely, 2^224640000 is an apocalyptic number.

224640000 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 224640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447637960).

224640000 is an abundant number, since it is smaller than the sum of its proper divisors (670635920).

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

224640000 is an equidigital number, since it uses as much as digits as its factorization.

224640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224640000 is about 14987.9951961562. The cubic root of 224640000 is about 607.8956422921.

Adding to 224640000 its reverse (46422), we get a palindrome (224686422).

The spelling of 224640000 in words is "two hundred twenty-four million, six hundred forty thousand".