259144890 has 64 divisors (see below), whose sum is σ = 634372992. Its totient is φ = 67737600.

The previous prime is 259144883. The next prime is 259144901. The reversal of 259144890 is 98441952.

It is a super-2 number, since 2×259144890² = 134312148026224200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527545 + ... + 528035.

It is an arithmetic number, because the mean of its divisors is an integer number (9912078).

Almost surely, 2^259144890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259144890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317186496).

259144890 is an abundant number, since it is smaller than the sum of its proper divisors (375228102).

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

259144890 is a wasteful number, since it uses less digits than its factorization.

259144890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815.

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 259144890 is about 16097.9778233168. The cubic root of 259144890 is about 637.5499507189.

The spelling of 259144890 in words is "two hundred fifty-nine million, one hundred forty-four thousand, eight hundred ninety".