859405872 has 160 divisors (see below), whose sum is σ = 2537337600. Its totient is φ = 248472576.

The previous prime is 859405871. The next prime is 859405873. The reversal of 859405872 is 278504958.

It is an interprime number because it is at equal distance from previous prime (859405871) and next prime (859405873).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (859405871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2050879 + ... + 2051297.

It is an arithmetic number, because the mean of its divisors is an integer number (15858360).

Almost surely, 2^859405872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 859405872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268668800).

859405872 is an abundant number, since it is smaller than the sum of its proper divisors (1677931728).

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

859405872 is a wasteful number, since it uses less digits than its factorization.

859405872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 859405872 is about 29315.6250487688. The cubic root of 859405872 is about 950.7494997569.

The spelling of 859405872 in words is "eight hundred fifty-nine million, four hundred five thousand, eight hundred seventy-two".