25408320 has 224 divisors, whose sum is σ = 97536000. Its totient is φ = 5474304.

The previous prime is 25408309. The next prime is 25408333. The reversal of 25408320 is 2380452.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127581 + ... + 127779.

Almost surely, 2^25408320 is an apocalyptic number.

25408320 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 25408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48768000).

25408320 is an abundant number, since it is smaller than the sum of its proper divisors (72127680).

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

25408320 is a wasteful number, since it uses less digits than its factorization.

25408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 25408320 is about 5040.6666225808. Note that the first 4 decimals coincide. The cubic root of 25408320 is about 293.9850980461.

Adding to 25408320 its reverse (2380452), we get a palindrome (27788772).

The spelling of 25408320 in words is "twenty-five million, four hundred eight thousand, three hundred twenty".