260470080 has 280 divisors, whose sum is σ = 999100872. Its totient is φ = 64032768.

The previous prime is 260470057. The next prime is 260470117. The reversal of 260470080 is 80074062.

It can be written as a sum of positive squares in 4 ways, for example, as 4981824 + 255488256 = 2232^2 + 15984^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336574 + ... + 337346.

Almost surely, 2^260470080 is an apocalyptic number.

260470080 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 260470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499550436).

260470080 is an abundant number, since it is smaller than the sum of its proper divisors (738630792).

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

260470080 is a wasteful number, since it uses less digits than its factorization.

260470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 260470080 is about 16139.0854759494. The cubic root of 260470080 is about 638.6348505605.

The spelling of 260470080 in words is "two hundred sixty million, four hundred seventy thousand, eighty".