859413240 has 384 divisors, whose sum is σ = 3509775360. Its totient is φ = 184633344.

The previous prime is 859413211. The next prime is 859413241. The reversal of 859413240 is 42314958.

It is a super-2 number, since 2×859413240² = 1477182234174595200, which contains 22 as substring.

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 = 859413195 and 859413204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (859413241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1156309 + ... + 1157051.

It is an arithmetic number, because the mean of its divisors is an integer number (9140040).

Almost surely, 2^859413240 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 859413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754887680).

859413240 is an abundant number, since it is smaller than the sum of its proper divisors (2650362120).

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

859413240 is a wasteful number, since it uses less digits than its factorization.

859413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 859413240 is about 29315.7507152725. The cubic root of 859413240 is about 950.7522167899.

The spelling of 859413240 in words is "eight hundred fifty-nine million, four hundred thirteen thousand, two hundred forty".