25384000 has 112 divisors (see below), whose sum is σ = 66568320. Its totient is φ = 9561600.

The previous prime is 25383989. The next prime is 25384013. The reversal of 25384000 is 48352.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151917 + ... + 152083.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^25384000 is an apocalyptic number.

25384000 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 25384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33284160).

25384000 is an abundant number, since it is smaller than the sum of its proper divisors (41184320).

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

25384000 is a wasteful number, since it uses less digits than its factorization.

25384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 25384000 is about 5038.2536657060. The cubic root of 25384000 is about 293.8912705130.

The spelling of 25384000 in words is "twenty-five million, three hundred eighty-four thousand".