25042800 has 120 divisors (see below), whose sum is σ = 82338480. Its totient is φ = 6502400.

The previous prime is 25042789. The next prime is 25042873. The reversal of 25042800 is 824052.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48946 + ... + 49454.

It is an arithmetic number, because the mean of its divisors is an integer number (686154).

Almost surely, 2^25042800 is an apocalyptic number.

25042800 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 25042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41169240).

25042800 is an abundant number, since it is smaller than the sum of its proper divisors (57295680).

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

25042800 is a wasteful number, since it uses less digits than its factorization.

25042800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 25042800 is about 5004.2781697264. The cubic root of 25042800 is about 292.5685426337.

Adding to 25042800 its reverse (824052), we get a palindrome (25866852).

The spelling of 25042800 in words is "twenty-five million, forty-two thousand, eight hundred".