25200400 has 45 divisors (see below), whose sum is σ = 60786133. Its totient is φ = 10040000.

The previous prime is 25200389. The next prime is 25200407. The reversal of 25200400 is 400252.

It is a happy number.

The square root of 25200400 is 5020.

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., 9072144 + 16128256 = 3012^2 + 4016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25200407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100275 + ... + 100525.

Almost surely, 2^25200400 is an apocalyptic number.

25200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25200400 is the 5020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25200400

25200400 is an abundant number, since it is smaller than the sum of its proper divisors (35585733).

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

25200400 is an equidigital number, since it uses as much as digits as its factorization.

25200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The cubic root of 25200400 is about 293.1809929814.

Adding to 25200400 its reverse (400252), we get a palindrome (25600652).

It can be divided in two parts, 25200 and 400, that added together give a square (25600 = 160²).

The spelling of 25200400 in words is "twenty-five million, two hundred thousand, four hundred".