25648400 has 60 divisors (see below), whose sum is σ = 63322212. Its totient is φ = 9976320.

The previous prime is 25648397. The next prime is 25648409. The reversal of 25648400 is 484652.

It can be written as a sum of positive squares in 6 ways, for example, as 85264 + 25563136 = 292^2 + 5056^2 .

It is not an unprimeable number, because it can be changed into a prime (25648409) 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, 13934 + ... + 15666.

Almost surely, 2^25648400 is an apocalyptic number.

25648400 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 25648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31661106).

25648400 is an abundant number, since it is smaller than the sum of its proper divisors (37673812).

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

25648400 is a wasteful number, since it uses less digits than its factorization.

25648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 25648400 is about 5064.4249426761. The cubic root of 25648400 is about 294.9081395493.

It can be divided in two parts, 256 and 48400, that multiplied together give a square (12390400 = 3520²).

The spelling of 25648400 in words is "twenty-five million, six hundred forty-eight thousand, four hundred".