260058240 has 384 divisors, whose sum is σ = 1015822080. Its totient is φ = 60825600.

The previous prime is 260058233. The next prime is 260058247. The reversal of 260058240 is 42850062.

260058240 is a `hidden beast` number, since 2 + 600 + 58 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (260058233) and next prime (260058247).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (260058247) 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, 1722165 + ... + 1722315.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2^260058240 is an apocalyptic number.

260058240 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 260058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507911040).

260058240 is an abundant number, since it is smaller than the sum of its proper divisors (755763840).

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

260058240 is a wasteful number, since it uses less digits than its factorization.

260058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 260058240 is about 16126.3213412111. The cubic root of 260058240 is about 638.2980823602.

The spelling of 260058240 in words is "two hundred sixty million, fifty-eight thousand, two hundred forty".