25406400 has 168 divisors, whose sum is σ = 85669120. Its totient is φ = 6589440.

The previous prime is 25406393. The next prime is 25406411. The reversal of 25406400 is 460452.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321561 + ... + 321639.

Almost surely, 2^25406400 is an apocalyptic number.

25406400 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 25406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42834560).

25406400 is an abundant number, since it is smaller than the sum of its proper divisors (60262720).

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

25406400 is a wasteful number, since it uses less digits than its factorization.

25406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 25406400 is about 5040.4761679825. The cubic root of 25406400 is about 293.9776927866.

Adding to 25406400 its reverse (460452), we get a palindrome (25866852).

The spelling of 25406400 in words is "twenty-five million, four hundred six thousand, four hundred".