25880400 has 360 divisors, whose sum is σ = 111937280. Its totient is φ = 5391360.

The previous prime is 25880363. The next prime is 25880401. The reversal of 25880400 is 408852.

25880400 is a `hidden beast` number, since 258 + 8 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25880401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327561 + ... + 327639.

Almost surely, 2^25880400 is an apocalyptic number.

25880400 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 25880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55968640).

25880400 is an abundant number, since it is smaller than the sum of its proper divisors (86056880).

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

25880400 is a wasteful number, since it uses less digits than its factorization.

25880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 25880400 is about 5087.2782506956. The cubic root of 25880400 is about 295.7946591424.

The spelling of 25880400 in words is "twenty-five million, eight hundred eighty thousand, four hundred".