25944400 has 60 divisors (see below), whose sum is σ = 64052572. Its totient is φ = 10091520.

The previous prime is 25944383. The next prime is 25944403. The reversal of 25944400 is 444952.

It can be written as a sum of positive squares in 6 ways, for example, as 1263376 + 24681024 = 1124^2 + 4968^2 .

It is a super-2 number, since 2×25944400² = 1346223782720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25944403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13924 + ... + 15676.

Almost surely, 2^25944400 is an apocalyptic number.

25944400 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 25944400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32026286).

25944400 is an abundant number, since it is smaller than the sum of its proper divisors (38108172).

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

25944400 is a wasteful number, since it uses less digits than its factorization.

25944400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 25944400 is about 5093.5645671769. The cubic root of 25944400 is about 296.0382833367.

The spelling of 25944400 in words is "twenty-five million, nine hundred forty-four thousand, four hundred".