25978480 has 80 divisors (see below), whose sum is σ = 67254624. Its totient is φ = 9251840.

The previous prime is 25978471. The next prime is 25978481. The reversal of 25978480 is 8487952.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×25978480² = 1349762846220800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25978481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46362 + ... + 46918.

Almost surely, 2^25978480 is an apocalyptic number.

25978480 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 25978480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33627312).

25978480 is an abundant number, since it is smaller than the sum of its proper divisors (41276144).

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

25978480 is a wasteful number, since it uses less digits than its factorization.

25978480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 25978480 is about 5096.9088671468. The cubic root of 25978480 is about 296.1678497731.

The spelling of 25978480 in words is "twenty-five million, nine hundred seventy-eight thousand, four hundred eighty".