705883248 has 400 divisors, whose sum is σ = 2592691200. Its totient is φ = 180652032.

The previous prime is 705883223. The next prime is 705883267. The reversal of 705883248 is 842388507.

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 79 ways as a sum of consecutive naturals, for example, 3547053 + ... + 3547251.

It is an arithmetic number, because the mean of its divisors is an integer number (6481728).

Almost surely, 2^705883248 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 705883248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296345600).

705883248 is an abundant number, since it is smaller than the sum of its proper divisors (1886807952).

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

705883248 is a wasteful number, since it uses less digits than its factorization.

705883248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 705883248 is about 26568.4634105926. The cubic root of 705883248 is about 890.3845697372.

The spelling of 705883248 in words is "seven hundred five million, eight hundred eighty-three thousand, two hundred forty-eight".