260148480 has 144 divisors (see below), whose sum is σ = 853770624. Its totient is φ = 67461120.

The previous prime is 260148463. The next prime is 260148481. The reversal of 260148480 is 84841062.

260148480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260148481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141165 + ... + 142995.

Almost surely, 2^260148480 is an apocalyptic number.

260148480 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 260148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426885312).

260148480 is an abundant number, since it is smaller than the sum of its proper divisors (593622144).

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

260148480 is a wasteful number, since it uses less digits than its factorization.

260148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 260148480 is about 16129.1190087990. The cubic root of 260148480 is about 638.3719034626.

The spelling of 260148480 in words is "two hundred sixty million, one hundred forty-eight thousand, four hundred eighty".