259049344 has 64 divisors (see below), whose sum is σ = 562122000. Its totient is φ = 118444032.

The previous prime is 259049341. The next prime is 259049347. The reversal of 259049344 is 443940952.

It is an interprime number because it is at equal distance from previous prime (259049341) and next prime (259049347).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 259049297 and 259049306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259049341) 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 7 ways as a sum of consecutive naturals, for example, 68692 + ... + 72364.

Almost surely, 2^259049344 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 259049344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281061000).

259049344 is an abundant number, since it is smaller than the sum of its proper divisors (303072656).

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

259049344 is a wasteful number, since it uses less digits than its factorization.

259049344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 259049344 is about 16095.0099099069. The cubic root of 259049344 is about 637.4715867895.

The spelling of 259049344 in words is "two hundred fifty-nine million, forty-nine thousand, three hundred forty-four".