259416 has 32 divisors (see below), whose sum is σ = 721200. Its totient is φ = 86400.

The previous prime is 259411. The next prime is 259421. The reversal of 259416 is 614952.

It is an interprime number because it is at equal distance from previous prime (259411) and next prime (259421).

It is a super-2 number, since 2×259416² = 134593322112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 259416.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 259416.

It is not an unprimeable number, because it can be changed into a prime (259411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385 + ... + 816.

2²⁵⁹⁴¹⁶ is an apocalyptic number.

It is an amenable number.

259416 is an abundant number, since it is smaller than the sum of its proper divisors (461784).

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

259416 is a wasteful number, since it uses less digits than its factorization.

259416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1206 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 259416 is about 509.3289703129. The cubic root of 259416 is about 63.7772202097. Note that the first 3 decimals are identical.

The spelling of 259416 in words is "two hundred fifty-nine thousand, four hundred sixteen".