25584480 has 144 divisors (see below), whose sum is σ = 88648560. Its totient is φ = 6718464.

The previous prime is 25584463. The next prime is 25584499. The reversal of 25584480 is 8448552.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156879 + ... + 157041.

It is an arithmetic number, because the mean of its divisors is an integer number (615615).

Almost surely, 2^25584480 is an apocalyptic number.

25584480 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 25584480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44324280).

25584480 is an abundant number, since it is smaller than the sum of its proper divisors (63064080).

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

25584480 is a wasteful number, since it uses less digits than its factorization.

25584480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 25584480 is about 5058.1103190816. The cubic root of 25584480 is about 294.6629493422.

The spelling of 25584480 in words is "twenty-five million, five hundred eighty-four thousand, four hundred eighty".