25806400 has 63 divisors (see below), whose sum is σ = 64003809. Its totient is φ = 10241280.

The previous prime is 25806397. The next prime is 25806401. The reversal of 25806400 is 460852.

The square root of 25806400 is 5080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9290304 + 16516096 = 3048^2 + 4064^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (25806401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 203137 + ... + 203263.

Almost surely, 2^25806400 is an apocalyptic number.

25806400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25806400 is the 5080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25806400

25806400 is an abundant number, since it is smaller than the sum of its proper divisors (38197409).

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

25806400 is an equidigital number, since it uses as much as digits as its factorization.

25806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 25806400 is about 295.5124674678.

Multiplying 25806400 by its sum of digits (25), we get a square (645160000 = 25400²).

25806400 divided by its sum of digits (25) gives a square (1032256 = 1016²).

The spelling of 25806400 in words is "twenty-five million, eight hundred six thousand, four hundred".