25674400 has 72 divisors (see below), whose sum is σ = 63745920. Its totient is φ = 10095360.

The previous prime is 25674353. The next prime is 25674401. The reversal of 25674400 is 447652.

It is not an unprimeable number, because it can be changed into a prime (25674401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53361 + ... + 53839.

It is an arithmetic number, because the mean of its divisors is an integer number (885360).

Almost surely, 2^25674400 is an apocalyptic number.

25674400 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 25674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31872960).

25674400 is an abundant number, since it is smaller than the sum of its proper divisors (38071520).

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

25674400 is a wasteful number, since it uses less digits than its factorization.

25674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 25674400 is about 5066.9912176754. The cubic root of 25674400 is about 295.0077561879.

The spelling of 25674400 in words is "twenty-five million, six hundred seventy-four thousand, four hundred".