225045454400 has 168 divisors, whose sum is σ = 627736697280. Its totient is φ = 78720215040.

The previous prime is 225045454313. The next prime is 225045454441. The reversal of 225045454400 is 4454540522.

It is a super-2 number, since 2×225045454400² (a number of 24 digits) contains 22 as substring.

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, 110477 + ... + 679923.

It is an arithmetic number, because the mean of its divisors is an integer number (3736527960).

Almost surely, 2^225045454400 is an apocalyptic number.

225045454400 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 225045454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313868348640).

225045454400 is an abundant number, since it is smaller than the sum of its proper divisors (402691242880).

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

225045454400 is a wasteful number, since it uses less digits than its factorization.

225045454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569501 (or 569486 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 35.

Adding to 225045454400 its reverse (4454540522), we get a palindrome (229499994922).

The spelling of 225045454400 in words is "two hundred twenty-five billion, forty-five million, four hundred fifty-four thousand, four hundred".