859408 has 40 divisors (see below), whose sum is σ = 1919520. Its totient is φ = 368640.

The previous prime is 859393. The next prime is 859423. The reversal of 859408 is 804958.

It is an interprime number because it is at equal distance from previous prime (859393) and next prime (859423).

It is a super-2 number, since 2×859408² = 1477164220928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

859408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3216 + ... + 3472.

It is an arithmetic number, because the mean of its divisors is an integer number (47988).

2⁸⁵⁹⁴⁰⁸ is an apocalyptic number.

859408 is a gapful number since it is divisible by the number (88) 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 859408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959760).

859408 is an abundant number, since it is smaller than the sum of its proper divisors (1060112).

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

859408 is a wasteful number, since it uses less digits than its factorization.

With its successor (859409) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (295).

859408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 859408 is about 927.0426095925. The cubic root of 859408 is about 95.0750284482.

The spelling of 859408 in words is "eight hundred fifty-nine thousand, four hundred eight".