859480704 has 192 divisors, whose sum is σ = 2619751680. Its totient is φ = 270028800.

The previous prime is 859480703. The next prime is 859480711. The reversal of 859480704 is 407084958.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 859480704.

It is not an unprimeable number, because it can be changed into a prime (859480703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1463899 + ... + 1464485.

It is an arithmetic number, because the mean of its divisors is an integer number (13644540).

Almost surely, 2^859480704 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 859480704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309875840).

859480704 is an abundant number, since it is smaller than the sum of its proper divisors (1760270976).

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

859480704 is a wasteful number, since it uses less digits than its factorization.

859480704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 859480704 is about 29316.9013369421. The cubic root of 859480704 is about 950.7770941776. Note that the first 3 decimals are identical.

It can be divided in two parts, 8594 and 80704, that added together give a palindrome (89298).

The spelling of 859480704 in words is "eight hundred fifty-nine million, four hundred eighty thousand, seven hundred four".