225453442400 has 144 divisors (see below), whose sum is σ = 583222577616. Its totient is φ = 84809809920.

The previous prime is 225453442393. The next prime is 225453442427. The reversal of 225453442400 is 4244354522.

It is a super-3 number, since 3×225453442400³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19401392 + ... + 19413008.

It is an arithmetic number, because the mean of its divisors is an integer number (4050156789).

Almost surely, 2^225453442400 is an apocalyptic number.

225453442400 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 225453442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291611288808).

225453442400 is an abundant number, since it is smaller than the sum of its proper divisors (357769135216).

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

225453442400 is a wasteful number, since it uses less digits than its factorization.

225453442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13081 (or 13068 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 225453442400 its reverse (4244354522), we get a palindrome (229697796922).

The spelling of 225453442400 in words is "two hundred twenty-five billion, four hundred fifty-three million, four hundred forty-two thousand, four hundred".