260351000 has 128 divisors (see below), whose sum is σ = 750072960. Its totient is φ = 82368000.

The previous prime is 260350973. The next prime is 260351027. The reversal of 260351000 is 153062.

It is an interprime number because it is at equal distance from previous prime (260350973) and next prime (260351027).

It is a self number, because there is not a number n which added to its sum of digits gives 260351000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89570 + ... + 92430.

It is an arithmetic number, because the mean of its divisors is an integer number (5859945).

Almost surely, 2^260351000 is an apocalyptic number.

260351000 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 260351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375036480).

260351000 is an abundant number, since it is smaller than the sum of its proper divisors (489721960).

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

260351000 is a wasteful number, since it uses less digits than its factorization.

260351000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 260351000 is about 16135.3958736685. The cubic root of 260351000 is about 638.5375134306.

The spelling of 260351000 in words is "two hundred sixty million, three hundred fifty-one thousand".