260493120 has 168 divisors, whose sum is σ = 903427200. Its totient is φ = 68889600.

The previous prime is 260493073. The next prime is 260493157. The reversal of 260493120 is 21394062.

260493120 is a `hidden beast` number, since 2 + 604 + 9 + 31 + 20 = 666.

260493120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434581 + ... + 435179.

Almost surely, 2^260493120 is an apocalyptic number.

260493120 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 260493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451713600).

260493120 is an abundant number, since it is smaller than the sum of its proper divisors (642934080).

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

260493120 is a wasteful number, since it uses less digits than its factorization.

260493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 260493120 is about 16139.7992552572. The cubic root of 260493120 is about 638.6536802512.

The spelling of 260493120 in words is "two hundred sixty million, four hundred ninety-three thousand, one hundred twenty".