259855248 has 80 divisors (see below), whose sum is σ = 709280000. Its totient is φ = 81751680.

The previous prime is 259855223. The next prime is 259855249. The reversal of 259855248 is 842558952.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 259855197 and 259855206.

It is not an unprimeable number, because it can be changed into a prime (259855249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454803 + ... + 455373.

It is an arithmetic number, because the mean of its divisors is an integer number (8866000).

Almost surely, 2^259855248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259855248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354640000).

259855248 is an abundant number, since it is smaller than the sum of its proper divisors (449424752).

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

259855248 is a wasteful number, since it uses less digits than its factorization.

259855248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1094 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 48.

The square root of 259855248 is about 16120.0263027081. The cubic root of 259855248 is about 638.1319617105.

The spelling of 259855248 in words is "two hundred fifty-nine million, eight hundred fifty-five thousand, two hundred forty-eight".