705110460 has 72 divisors (see below), whose sum is σ = 1996470000. Its totient is φ = 185942016.

The previous prime is 705110449. The next prime is 705110473. The reversal of 705110460 is 64011507.

It is a self number, because there is not a number n which added to its sum of digits gives 705110460.

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 23 ways as a sum of consecutive naturals, for example, 563916 + ... + 565164.

It is an arithmetic number, because the mean of its divisors is an integer number (27728750).

Almost surely, 2^705110460 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 705110460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998235000).

705110460 is an abundant number, since it is smaller than the sum of its proper divisors (1291359540).

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

705110460 is a wasteful number, since it uses less digits than its factorization.

705110460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 705110460 is about 26553.9160953709. The cubic root of 705110460 is about 890.0595255394.

Adding to 705110460 its reverse (64011507), we get a palindrome (769121967).

The spelling of 705110460 in words is "seven hundred five million, one hundred ten thousand, four hundred sixty".