225600400 has 45 divisors (see below), whose sum is σ = 542727633. Its totient is φ = 90120000.

The previous prime is 225600373. The next prime is 225600407. The reversal of 225600400 is 4006522.

The square root of 225600400 is 15020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 81216144 + 144384256 = 9012^2 + 12016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225600407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 300025 + ... + 300775.

Almost surely, 2^225600400 is an apocalyptic number.

225600400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

225600400 is the 15020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225600400

225600400 is an abundant number, since it is smaller than the sum of its proper divisors (317127233).

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

225600400 is an frugal number, since it uses more digits than its factorization.

225600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The cubic root of 225600400 is about 608.7607196636.

Adding to 225600400 its reverse (4006522), we get a palindrome (229606922).

It can be divided in two parts, 225 and 600400, that added together give a square (600625 = 775²).

The spelling of 225600400 in words is "two hundred twenty-five million, six hundred thousand, four hundred".