25490400 has 288 divisors, whose sum is σ = 96243840. Its totient is φ = 5806080.

The previous prime is 25490393. The next prime is 25490441. The reversal of 25490400 is 409452.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592779 + ... + 592821.

It is an arithmetic number, because the mean of its divisors is an integer number (334180).

Almost surely, 2^25490400 is an apocalyptic number.

25490400 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 25490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48121920).

25490400 is an abundant number, since it is smaller than the sum of its proper divisors (70753440).

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

25490400 is a wasteful number, since it uses less digits than its factorization.

25490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 25490400 is about 5048.8018380602. The cubic root of 25490400 is about 294.3013246413.

Adding to 25490400 its reverse (409452), we get a palindrome (25899852).

The spelling of 25490400 in words is "twenty-five million, four hundred ninety thousand, four hundred".