260385120 has 288 divisors, whose sum is σ = 968647680. Its totient is φ = 63452160.

The previous prime is 260385119. The next prime is 260385127. The reversal of 260385120 is 21583062.

260385120 is a `hidden beast` number, since 2 + 603 + 8 + 51 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260385127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 848007 + ... + 848313.

It is an arithmetic number, because the mean of its divisors is an integer number (3363360).

Almost surely, 2^260385120 is an apocalyptic number.

260385120 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 260385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484323840).

260385120 is an abundant number, since it is smaller than the sum of its proper divisors (708262560).

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

260385120 is a wasteful number, since it uses less digits than its factorization.

260385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 260385120 is about 16136.4531418772. The cubic root of 260385120 is about 638.5654064779.

The spelling of 260385120 in words is "two hundred sixty million, three hundred eighty-five thousand, one hundred twenty".