224985600 has 600 divisors, whose sum is σ = 982341888. Its totient is φ = 49766400.

The previous prime is 224985587. The next prime is 224985611. The reversal of 224985600 is 6589422.

It is a happy number.

224985600 is a `hidden beast` number, since 2 + 2 + 4 + 98 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7257585 + ... + 7257615.

Almost surely, 2^224985600 is an apocalyptic number.

224985600 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 224985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491170944).

224985600 is an abundant number, since it is smaller than the sum of its proper divisors (757356288).

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

224985600 is an equidigital number, since it uses as much as digits as its factorization.

224985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 224985600 is about 14999.5199923198. The cubic root of 224985600 is about 608.2072239163.

The spelling of 224985600 in words is "two hundred twenty-four million, nine hundred eighty-five thousand, six hundred".