705735240 has 192 divisors, whose sum is σ = 2592907200. Its totient is φ = 152796672.

The previous prime is 705735143. The next prime is 705735241. The reversal of 705735240 is 42537507.

It is not an unprimeable number, because it can be changed into a prime (705735241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108562 + ... + 114878.

It is an arithmetic number, because the mean of its divisors is an integer number (13504725).

Almost surely, 2^705735240 is an apocalyptic number.

705735240 is a gapful number since it is divisible by the number (70) 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 705735240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296453600).

705735240 is an abundant number, since it is smaller than the sum of its proper divisors (1887171960).

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

705735240 is a wasteful number, since it uses less digits than its factorization.

705735240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6364 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 705735240 is about 26565.6778569642. The cubic root of 705735240 is about 890.3223341141.

The spelling of 705735240 in words is "seven hundred five million, seven hundred thirty-five thousand, two hundred forty".