859384890 has 320 divisors, whose sum is σ = 2897959680. Its totient is φ = 177914880.

The previous prime is 859384879. The next prime is 859384919. The reversal of 859384890 is 98483958.

It is a happy number.

859384890 is a `hidden beast` number, since 8 + 593 + 8 + 48 + 9 + 0 = 666.

859384890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6560125 + ... + 6560255.

It is an arithmetic number, because the mean of its divisors is an integer number (9056124).

Almost surely, 2^859384890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 859384890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448979840).

859384890 is an abundant number, since it is smaller than the sum of its proper divisors (2038574790).

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

859384890 is a wasteful number, since it uses less digits than its factorization.

859384890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 859384890 is about 29315.2671828179. The cubic root of 859384890 is about 950.7417623230.

The spelling of 859384890 in words is "eight hundred fifty-nine million, three hundred eighty-four thousand, eight hundred ninety".