225342432 has 384 divisors, whose sum is σ = 827366400. Its totient is φ = 58226688.

The previous prime is 225342421. The next prime is 225342433. The reversal of 225342432 is 234243522.

It is a happy number.

225342432 is a `hidden beast` number, since 225 + 3 + 4 + 2 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 225342396 and 225342405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225342433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4251718 + ... + 4251770.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^225342432 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 225342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413683200).

225342432 is an abundant number, since it is smaller than the sum of its proper divisors (602023968).

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

225342432 is a wasteful number, since it uses less digits than its factorization.

225342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 225342432 is about 15011.4100603508. The cubic root of 225342432 is about 608.5285973200.

Adding to 225342432 its reverse (234243522), we get a palindrome (459585954).

The spelling of 225342432 in words is "two hundred twenty-five million, three hundred forty-two thousand, four hundred thirty-two".