260473760 has 48 divisors (see below), whose sum is σ = 618143400. Its totient is φ = 103719936.

The previous prime is 260473757. The next prime is 260473769. The reversal of 260473760 is 67374062.

It can be written as a sum of positive squares in 4 ways, for example, as 220581904 + 39891856 = 14852^2 + 6316^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 260473760.

It is not an unprimeable number, because it can be changed into a prime (260473769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33086 + ... + 40194.

Almost surely, 2^260473760 is an apocalyptic number.

260473760 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 260473760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309071700).

260473760 is an abundant number, since it is smaller than the sum of its proper divisors (357669640).

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

260473760 is a wasteful number, since it uses less digits than its factorization.

260473760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7353 (or 7345 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 260473760 is about 16139.1994844850. The cubic root of 260473760 is about 638.6378581551.

The spelling of 260473760 in words is "two hundred sixty million, four hundred seventy-three thousand, seven hundred sixty".