25332480 has 144 divisors (see below), whose sum is σ = 90017760. Its totient is φ = 6746112.

The previous prime is 25332473. The next prime is 25332497. The reversal of 25332480 is 8423352.

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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34194 + ... + 34926.

Almost surely, 2^25332480 is an apocalyptic number.

25332480 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 25332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45008880).

25332480 is an abundant number, since it is smaller than the sum of its proper divisors (64685280).

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

25332480 is an equidigital number, since it uses as much as digits as its factorization.

25332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 25332480 is about 5033.1381860624. The cubic root of 25332480 is about 293.6923061585.

The spelling of 25332480 in words is "twenty-five million, three hundred thirty-two thousand, four hundred eighty".