25008480 has 192 divisors, whose sum is σ = 100154880. Its totient is φ = 5709312.

The previous prime is 25008457. The next prime is 25008493. The reversal of 25008480 is 8480052.

25008480 is a `hidden beast` number, since 2 + 500 + 84 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29827 + ... + 30653.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

Almost surely, 2^25008480 is an apocalyptic number.

25008480 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 25008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50077440).

25008480 is an abundant number, since it is smaller than the sum of its proper divisors (75146400).

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

25008480 is a wasteful number, since it uses less digits than its factorization.

25008480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 25008480 is about 5000.8479281018. The cubic root of 25008480 is about 292.4348309778.

The spelling of 25008480 in words is "twenty-five million, eight thousand, four hundred eighty".