224808000 has 448 divisors, whose sum is σ = 855878400. Its totient is φ = 51609600.

The previous prime is 224807993. The next prime is 224808007. The reversal of 224808000 is 808422.

It is an interprime number because it is at equal distance from previous prime (224807993) and next prime (224808007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (224808007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7751986 + ... + 7752014.

Almost surely, 2^224808000 is an apocalyptic number.

224808000 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 224808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427939200).

224808000 is an abundant number, since it is smaller than the sum of its proper divisors (631070400).

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

224808000 is a wasteful number, since it uses less digits than its factorization.

224808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 224808000 is about 14993.5986340838. The cubic root of 224808000 is about 608.0471454670.

The spelling of 224808000 in words is "two hundred twenty-four million, eight hundred eight thousand".