25010400 has 144 divisors (see below), whose sum is σ = 86338224. Its totient is φ = 6266880.

The previous prime is 25010353. The next prime is 25010413. The reversal of 25010400 is 401052.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 40494 + ... + 41106.

It is an arithmetic number, because the mean of its divisors is an integer number (599571).

Almost surely, 2^25010400 is an apocalyptic number.

25010400 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 25010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43169112).

25010400 is an abundant number, since it is smaller than the sum of its proper divisors (61327824).

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

25010400 is a wasteful number, since it uses less digits than its factorization.

25010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 25010400 is about 5001.0398918625. The cubic root of 25010400 is about 292.4423145795.

Adding to 25010400 its reverse (401052), we get a palindrome (25411452).

The spelling of 25010400 in words is "twenty-five million, ten thousand, four hundred".