25838400 has 168 divisors, whose sum is σ = 97007680. Its totient is φ = 5898240.

The previous prime is 25838389. The next prime is 25838413. The reversal of 25838400 is 483852.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33216 + ... + 33984.

Almost surely, 2^25838400 is an apocalyptic number.

25838400 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 25838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48503840).

25838400 is an abundant number, since it is smaller than the sum of its proper divisors (71169280).

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

25838400 is a wasteful number, since it uses less digits than its factorization.

25838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 25838400 is about 5083.1486305242. The cubic root of 25838400 is about 295.6345624131.

The spelling of 25838400 in words is "twenty-five million, eight hundred thirty-eight thousand, four hundred".