260148280 has 256 divisors, whose sum is σ = 766402560. Its totient is φ = 77414400.

The previous prime is 260148211. The next prime is 260148281. The reversal of 260148280 is 82841062.

It is a super-3 number, since 3×260148280³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 (260148281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6049939 + ... + 6049981.

It is an arithmetic number, because the mean of its divisors is an integer number (2993760).

Almost surely, 2^260148280 is an apocalyptic number.

260148280 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 260148280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383201280).

260148280 is an abundant number, since it is smaller than the sum of its proper divisors (506254280).

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

260148280 is a wasteful number, since it uses less digits than its factorization.

260148280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 260148280 is about 16129.1128088311. The cubic root of 260148280 is about 638.3717398708.

The spelling of 260148280 in words is "two hundred sixty million, one hundred forty-eight thousand, two hundred eighty".