25493200 has 120 divisors (see below), whose sum is σ = 68084928. Its totient is φ = 9123840.

The previous prime is 25493197. The next prime is 25493207. The reversal of 25493200 is 239452.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25493207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156319 + ... + 156481.

Almost surely, 2^25493200 is an apocalyptic number.

25493200 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 25493200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34042464).

25493200 is an abundant number, since it is smaller than the sum of its proper divisors (42591728).

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

25493200 is a wasteful number, since it uses less digits than its factorization.

25493200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 25493200 is about 5049.0791239591. The cubic root of 25493200 is about 294.3121001168.

The spelling of 25493200 in words is "twenty-five million, four hundred ninety-three thousand, two hundred".