259434 has 48 divisors (see below), whose sum is σ = 673920. Its totient is φ = 70560.

The previous prime is 259429. The next prime is 259451. The reversal of 259434 is 434952.

259434 = T₁₁₉ + T₁₂₀ + ... + T₁₄₇.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 259398 and 259407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3619 + ... + 3689.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2²⁵⁹⁴³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336960).

259434 is an abundant number, since it is smaller than the sum of its proper divisors (414486).

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

259434 is a wasteful number, since it uses less digits than its factorization.

259434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 112 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 259434 is about 509.3466403148. The cubic root of 259434 is about 63.7786952709.

It can be divided in two parts, 2594 and 34, that added together give a triangular number (2628 = T₇₂).

The spelling of 259434 in words is "two hundred fifty-nine thousand, four hundred thirty-four".