859350240 has 432 divisors, whose sum is σ = 3596458320. Its totient is φ = 185794560.

The previous prime is 859350203. The next prime is 859350253. The reversal of 859350240 is 42053958.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 859350195 and 859350204.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1340320 + ... + 1340960.

It is an arithmetic number, because the mean of its divisors is an integer number (8325135).

Almost surely, 2^859350240 is an apocalyptic number.

859350240 is a gapful number since it is divisible by the number (80) 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 859350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798229160).

859350240 is an abundant number, since it is smaller than the sum of its proper divisors (2737108080).

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

859350240 is a wasteful number, since it uses less digits than its factorization.

859350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 859350240 is about 29314.6761878756. The cubic root of 859350240 is about 950.7289843290.

The spelling of 859350240 in words is "eight hundred fifty-nine million, three hundred fifty thousand, two hundred forty".