25829440 has 112 divisors (see below), whose sum is σ = 75785472. Its totient is φ = 8165376.

The previous prime is 25829431. The next prime is 25829449. The reversal of 25829440 is 4492852.

It is an interprime number because it is at equal distance from previous prime (25829431) and next prime (25829449).

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 25829396 and 25829405.

It is not an unprimeable number, because it can be changed into a prime (25829449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28677 + ... + 29563.

It is an arithmetic number, because the mean of its divisors is an integer number (676656).

Almost surely, 2^25829440 is an apocalyptic number.

25829440 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 25829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37892736).

25829440 is an abundant number, since it is smaller than the sum of its proper divisors (49956032).

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

25829440 is a wasteful number, since it uses less digits than its factorization.

25829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 25829440 is about 5082.2672106059. The cubic root of 25829440 is about 295.6003859945.

Subtracting from 25829440 its product of nonzero digits (23040), we obtain a square (25806400 = 5080²).

The spelling of 25829440 in words is "twenty-five million, eight hundred twenty-nine thousand, four hundred forty".