25796400 has 240 divisors, whose sum is σ = 98160384. Its totient is φ = 5667840.

The previous prime is 25796377. The next prime is 25796401. The reversal of 25796400 is 469752.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25796401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310759 + ... + 310841.

Almost surely, 2^25796400 is an apocalyptic number.

25796400 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 25796400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49080192).

25796400 is an abundant number, since it is smaller than the sum of its proper divisors (72363984).

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

25796400 is a wasteful number, since it uses less digits than its factorization.

25796400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 25796400 is about 5079.0156526634. The cubic root of 25796400 is about 295.4742920996.

The spelling of 25796400 in words is "twenty-five million, seven hundred ninety-six thousand, four hundred".