260657280 has 288 divisors, whose sum is σ = 986026860. Its totient is φ = 63074304.

The previous prime is 260657279. The next prime is 260657291. The reversal of 260657280 is 82756062.

260657280 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 572 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 242611776 + 18045504 = 15576^2 + 4248^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4417891 + ... + 4417949.

Almost surely, 2^260657280 is an apocalyptic number.

260657280 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 260657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493013430).

260657280 is an abundant number, since it is smaller than the sum of its proper divisors (725369580).

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

260657280 is a wasteful number, since it uses less digits than its factorization.

260657280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 260657280 is about 16144.8840194038. The cubic root of 260657280 is about 638.7878096703.

The spelling of 260657280 in words is "two hundred sixty million, six hundred fifty-seven thousand, two hundred eighty".