225003414400 has 192 divisors, whose sum is σ = 562942875600. Its totient is φ = 88856985600.

The previous prime is 225003414397. The next prime is 225003414403. The reversal of 225003414400 is 4414300522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225003414397) and next prime (225003414403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225003414403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85845090 + ... + 85847710.

Almost surely, 2^225003414400 is an apocalyptic number.

225003414400 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 225003414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281471437800).

225003414400 is an abundant number, since it is smaller than the sum of its proper divisors (337939461200).

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

225003414400 is a wasteful number, since it uses less digits than its factorization.

225003414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 225003414400 its reverse (4414300522), we get a palindrome (229417714922).

The spelling of 225003414400 in words is "two hundred twenty-five billion, three million, four hundred fourteen thousand, four hundred".