25126400 has 120 divisors (see below), whose sum is σ = 67485264. Its totient is φ = 9216000.

The previous prime is 25126397. The next prime is 25126411. The reversal of 25126400 is 462152.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166325 + ... + 166475.

Almost surely, 2^25126400 is an apocalyptic number.

25126400 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 25126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33742632).

25126400 is an abundant number, since it is smaller than the sum of its proper divisors (42358864).

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

25126400 is a wasteful number, since it uses less digits than its factorization.

25126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 25126400 is about 5012.6240633026. The cubic root of 25126400 is about 292.8937400795.

Adding to 25126400 its reverse (462152), we get a palindrome (25588552).

The spelling of 25126400 in words is "twenty-five million, one hundred twenty-six thousand, four hundred".