225957600 has 360 divisors, whose sum is σ = 901770408. Its totient is φ = 54604800.

The previous prime is 225957593. The next prime is 225957619. The reversal of 225957600 is 6759522.

225957600 is a `hidden beast` number, since 2 + 2 + 595 + 7 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 712642 + ... + 712958.

Almost surely, 2^225957600 is an apocalyptic number.

225957600 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 225957600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450885204).

225957600 is an abundant number, since it is smaller than the sum of its proper divisors (675812808).

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

225957600 is a wasteful number, since it uses less digits than its factorization.

225957600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 225957600 is about 15031.8861092013. The cubic root of 225957600 is about 609.0818400534.

The spelling of 225957600 in words is "two hundred twenty-five million, nine hundred fifty-seven thousand, six hundred".