25970400 has 108 divisors (see below), whose sum is σ = 91603512. Its totient is φ = 6923520.

The previous prime is 25970383. The next prime is 25970429. The reversal of 25970400 is 407952.

25970400 is a `hidden beast` number, since 259 + 7 + 0 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5397 + ... + 9003.

Almost surely, 2^25970400 is an apocalyptic number.

25970400 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 25970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45801756).

25970400 is an abundant number, since it is smaller than the sum of its proper divisors (65633112).

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

25970400 is a wasteful number, since it uses less digits than its factorization.

25970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 25970400 is about 5096.1161682207. The cubic root of 25970400 is about 296.1371412229.

The spelling of 25970400 in words is "twenty-five million, nine hundred seventy thousand, four hundred".