25500400 has 60 divisors (see below), whose sum is σ = 62957032. Its totient is φ = 9918720.

The previous prime is 25500389. The next prime is 25500403. The reversal of 25500400 is 400552.

It is a happy number.

25500400 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25500403) 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, 13939 + ... + 15661.

Almost surely, 2^25500400 is an apocalyptic number.

25500400 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 25500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31478516).

25500400 is an abundant number, since it is smaller than the sum of its proper divisors (37456632).

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

25500400 is a wasteful number, since it uses less digits than its factorization.

25500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 25500400 is about 5049.7920749274. The cubic root of 25500400 is about 294.3398048597.

Adding to 25500400 its reverse (400552), we get a palindrome (25900952).

The spelling of 25500400 in words is "twenty-five million, five hundred thousand, four hundred".