25958400 has 216 divisors, whose sum is σ = 92923740. Its totient is φ = 6389760.

The previous prime is 25958399. The next prime is 25958411. The reversal of 25958400 is 485952.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1996794 + ... + 1996806.

Almost surely, 2^25958400 is an apocalyptic number.

25958400 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 25958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46461870).

25958400 is an abundant number, since it is smaller than the sum of its proper divisors (66965340).

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

25958400 is a wasteful number, since it uses less digits than its factorization.

25958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 25958400 is about 5094.9386649890. The cubic root of 25958400 is about 296.0915227089.

The spelling of 25958400 in words is "twenty-five million, nine hundred fifty-eight thousand, four hundred".