25870400 has 168 divisors, whose sum is σ = 71810880. Its totient is φ = 9123840.

The previous prime is 25870393. The next prime is 25870409. The reversal of 25870400 is 407852.

It is a self number, because there is not a number n which added to its sum of digits gives 25870400.

It is not an unprimeable number, because it can be changed into a prime (25870409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699182 + ... + 699218.

Almost surely, 2^25870400 is an apocalyptic number.

25870400 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 25870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35905440).

25870400 is an abundant number, since it is smaller than the sum of its proper divisors (45940480).

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

25870400 is a wasteful number, since it uses less digits than its factorization.

25870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 25870400 is about 5086.2953119142. The cubic root of 25870400 is about 295.7565565931.

The spelling of 25870400 in words is "twenty-five million, eight hundred seventy thousand, four hundred".