25898400 has 288 divisors, whose sum is σ = 103118400. Its totient is φ = 6220800.

The previous prime is 25898393. The next prime is 25898401. The reversal of 25898400 is 489852.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25898401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 237546 + ... + 237654.

It is an arithmetic number, because the mean of its divisors is an integer number (358050).

Almost surely, 2^25898400 is an apocalyptic number.

25898400 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 25898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51559200).

25898400 is an abundant number, since it is smaller than the sum of its proper divisors (77220000).

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

25898400 is a wasteful number, since it uses less digits than its factorization.

25898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 25898400 is about 5089.0470620736. The cubic root of 25898400 is about 295.8632190046.

25898400 divided by its sum of digits (36) gives a triangular number (719400 = T₁₁₉₉).

The spelling of 25898400 in words is "twenty-five million, eight hundred ninety-eight thousand, four hundred".