25522400 has 72 divisors (see below), whose sum is σ = 63449064. Its totient is φ = 10022400.

The previous prime is 25522381. The next prime is 25522403. The reversal of 25522400 is 422552.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25522403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48539 + ... + 49061.

It is an arithmetic number, because the mean of its divisors is an integer number (881237).

Almost surely, 2^25522400 is an apocalyptic number.

25522400 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 25522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31724532).

25522400 is an abundant number, since it is smaller than the sum of its proper divisors (37926664).

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

25522400 is a wasteful number, since it uses less digits than its factorization.

25522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 25522400 is about 5051.9699128162. The cubic root of 25522400 is about 294.4244259428.

Adding to 25522400 its reverse (422552), we get a palindrome (25944952).

The spelling of 25522400 in words is "twenty-five million, five hundred twenty-two thousand, four hundred".