225792000 has 468 divisors, whose sum is σ = 946846836. Its totient is φ = 51609600.

The previous prime is 225791963. The next prime is 225792037. The reversal of 225792000 is 297522.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

225792000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225791963) and next prime (225792037).

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 218566656 = 2688^2 + 14784^2 .

It is a nialpdrome in base 16.

It is a congruent 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, 32255997 + ... + 32256003.

It is an arithmetic number, because the mean of its divisors is an integer number (2023177).

Almost surely, 2^225792000 is an apocalyptic number.

225792000 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 225792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473423418).

225792000 is an abundant number, since it is smaller than the sum of its proper divisors (721054836).

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

225792000 is an equidigital number, since it uses as much as digits as its factorization.

225792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 225792000 is about 15026.3768087986. The cubic root of 225792000 is about 608.9330088816.

The spelling of 225792000 in words is "two hundred twenty-five million, seven hundred ninety-two thousand".