259830144 has 144 divisors (see below), whose sum is σ = 869948820. Its totient is φ = 74221056.

The previous prime is 259830143. The next prime is 259830163. The reversal of 259830144 is 441038952.

259830144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 259830099 and 259830108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259830143) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54147 + ... + 58749.

Almost surely, 2^259830144 is an apocalyptic number.

259830144 is a gapful number since it is divisible by the number (24) 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 259830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434974410).

259830144 is an abundant number, since it is smaller than the sum of its proper divisors (610118676).

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

259830144 is a wasteful number, since it uses less digits than its factorization.

259830144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 259830144 is about 16119.2476251220. The cubic root of 259830144 is about 638.1114115763. Note that the first 3 decimals are identical.

The spelling of 259830144 in words is "two hundred fifty-nine million, eight hundred thirty thousand, one hundred forty-four".