25426400 has 72 divisors (see below), whose sum is σ = 63824040. Its totient is φ = 9884160.

The previous prime is 25426397. The next prime is 25426439. The reversal of 25426400 is 462452.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 29171 + ... + 30029.

It is an arithmetic number, because the mean of its divisors is an integer number (886445).

Almost surely, 2^25426400 is an apocalyptic number.

25426400 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 25426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31912020).

25426400 is an abundant number, since it is smaller than the sum of its proper divisors (38397640).

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

25426400 is a wasteful number, since it uses less digits than its factorization.

25426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 25426400 is about 5042.4597172412. The cubic root of 25426400 is about 294.0548126164.

Adding to 25426400 its reverse (462452), we get a palindrome (25888852).

The spelling of 25426400 in words is "twenty-five million, four hundred twenty-six thousand, four hundred".