25550400 has 84 divisors (see below), whose sum is σ = 83842352. Its totient is φ = 6812160.

The previous prime is 25550381. The next prime is 25550407. The reversal of 25550400 is 405552.

It is not an unprimeable number, because it can be changed into a prime (25550407) 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, 2139 + ... + 7461.

Almost surely, 2^25550400 is an apocalyptic number.

25550400 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 25550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41921176).

25550400 is an abundant number, since it is smaller than the sum of its proper divisors (58291952).

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

25550400 is a wasteful number, since it uses less digits than its factorization.

25550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5348 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 25550400 is about 5054.7403494146. The cubic root of 25550400 is about 294.5320552023.

Adding to 25550400 its reverse (405552), we get a palindrome (25955952).

The spelling of 25550400 in words is "twenty-five million, five hundred fifty thousand, four hundred".