859491360 has 432 divisors, whose sum is σ = 3678246936. Its totient is φ = 181149696.

The previous prime is 859491359. The next prime is 859491361. The reversal of 859491360 is 63194958.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (859491359) and next prime (859491361).

It can be written as a sum of positive squares in 4 ways, for example, as 302342544 + 557148816 = 17388^2 + 23604^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (859491361) by changing a digit.

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, 916812 + ... + 917748.

Almost surely, 2^859491360 is an apocalyptic number.

859491360 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 859491360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839123468).

859491360 is an abundant number, since it is smaller than the sum of its proper divisors (2818755576).

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

859491360 is a wasteful number, since it uses less digits than its factorization.

859491360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 859491360 is about 29317.0830745489. The cubic root of 859491360 is about 950.7810234645.

The spelling of 859491360 in words is "eight hundred fifty-nine million, four hundred ninety-one thousand, three hundred sixty".