259580000 has 60 divisors (see below), whose sum is σ = 638654940. Its totient is φ = 103824000.

The previous prime is 259579997. The next prime is 259580003. The reversal of 259580000 is 85952.

It is an interprime number because it is at equal distance from previous prime (259579997) and next prime (259580003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259580003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 13511 + ... + 26489.

It is an arithmetic number, because the mean of its divisors is an integer number (10644249).

Almost surely, 2^259580000 is an apocalyptic number.

259580000 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 259580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319327470).

259580000 is an abundant number, since it is smaller than the sum of its proper divisors (379074940).

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

259580000 is an equidigital number, since it uses as much as digits as its factorization.

259580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13009 (or 12986 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 259580000 is about 16111.4865856630. The cubic root of 259580000 is about 637.9065713565.

The spelling of 259580000 in words is "two hundred fifty-nine million, five hundred eighty thousand".