225453600 has 216 divisors, whose sum is σ = 804018852. Its totient is φ = 59443200.

The previous prime is 225453589. The next prime is 225453611. The reversal of 225453600 is 6354522.

225453600 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 53 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (225453589) and next prime (225453611).

It can be written as a sum of positive squares in 6 ways, for example, as 60279696 + 165173904 = 7764^2 + 12852^2 .

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, 1245510 + ... + 1245690.

Almost surely, 2^225453600 is an apocalyptic number.

225453600 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 225453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402009426).

225453600 is an abundant number, since it is smaller than the sum of its proper divisors (578565252).

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

225453600 is a wasteful number, since it uses less digits than its factorization.

225453600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 225453600 is about 15015.1123871918. The cubic root of 225453600 is about 608.6286491761.

225453600 divided by its product of nonzero digits (7200) gives a palindrome (31313).

The spelling of 225453600 in words is "two hundred twenty-five million, four hundred fifty-three thousand, six hundred".