25288900 has 108 divisors (see below), whose sum is σ = 68920068. Its totient is φ = 7983360.

The previous prime is 25288883. The next prime is 25288909. The reversal of 25288900 is 988252.

It can be written as a sum of positive squares in 6 ways, for example, as 1552516 + 23736384 = 1246^2 + 4872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25288909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63502 + ... + 63898.

Almost surely, 2^25288900 is an apocalyptic number.

25288900 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 25288900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34460034).

25288900 is an abundant number, since it is smaller than the sum of its proper divisors (43631168).

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

25288900 is a wasteful number, since it uses less digits than its factorization.

25288900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 25288900 is about 5028.8070155853. The cubic root of 25288900 is about 293.5237944658.

The spelling of 25288900 in words is "twenty-five million, two hundred eighty-eight thousand, nine hundred".