225466416 has 200 divisors, whose sum is σ = 772405920. Its totient is φ = 62125056.

The previous prime is 225466361. The next prime is 225466433. The reversal of 225466416 is 614664522.

225466416 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 6 + 641 + 6 = 666.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 262660 + ... + 263516.

Almost surely, 2^225466416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225466416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386202960).

225466416 is an abundant number, since it is smaller than the sum of its proper divisors (546939504).

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

225466416 is a wasteful number, since it uses less digits than its factorization.

225466416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 898 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 225466416 is about 15015.5391511594. The cubic root of 225466416 is about 608.6401815372.

The spelling of 225466416 in words is "two hundred twenty-five million, four hundred sixty-six thousand, four hundred sixteen".