25442400 has 72 divisors (see below), whose sum is σ = 82822824. Its totient is φ = 6784000.

The previous prime is 25442383. The next prime is 25442401. The reversal of 25442400 is 424452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25442401) 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, 2901 + ... + 7700.

It is an arithmetic number, because the mean of its divisors is an integer number (1150317).

Almost surely, 2^25442400 is an apocalyptic number.

25442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25442400 is an abundant number, since it is smaller than the sum of its proper divisors (57380424).

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

25442400 is a wasteful number, since it uses less digits than its factorization.

25442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10624 (or 10611 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 25442400 is about 5044.0459950322. The cubic root of 25442400 is about 294.1164793679.

Adding to 25442400 its reverse (424452), we get a palindrome (25866852).

The spelling of 25442400 in words is "twenty-five million, four hundred forty-two thousand, four hundred".