25408000 has 80 divisors (see below), whose sum is σ = 63516024. Its totient is φ = 10137600.

The previous prime is 25407983. The next prime is 25408027. The reversal of 25408000 is 80452.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9535744 + 15872256 = 3088^2 + 3984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63802 + ... + 64198.

Almost surely, 2^25408000 is an apocalyptic number.

25408000 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 25408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31758012).

25408000 is an abundant number, since it is smaller than the sum of its proper divisors (38108024).

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

25408000 is an frugal number, since it uses more digits than its factorization.

25408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 25408000 is about 5040.6348806475. The cubic root of 25408000 is about 293.9838638621.

Adding to 25408000 its reverse (80452), we get a palindrome (25488452).

The spelling of 25408000 in words is "twenty-five million, four hundred eight thousand".