225424800 has 216 divisors, whose sum is σ = 804323520. Its totient is φ = 59404800.

The previous prime is 225424769. The next prime is 225424813. The reversal of 225424800 is 8424522.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 943081 + ... + 943319.

It is an arithmetic number, because the mean of its divisors is an integer number (3723720).

Almost surely, 2^225424800 is an apocalyptic number.

225424800 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 225424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

225424800 is an abundant number, since it is smaller than the sum of its proper divisors (578898720).

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

225424800 is a wasteful number, since it uses less digits than its factorization.

225424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 225424800 is about 15014.1533227818. The cubic root of 225424800 is about 608.6027321633.

The spelling of 225424800 in words is "two hundred twenty-five million, four hundred twenty-four thousand, eight hundred".