705333248 has 48 divisors (see below), whose sum is σ = 1415232000. Its totient is φ = 351440896.

The previous prime is 705333229. The next prime is 705333271. The reversal of 705333248 is 842333507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 980633 + ... + 981351.

It is an arithmetic number, because the mean of its divisors is an integer number (29484000).

Almost surely, 2^705333248 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 705333248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616000).

705333248 is an abundant number, since it is smaller than the sum of its proper divisors (709898752).

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

705333248 is an equidigital number, since it uses as much as digits as its factorization.

705333248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 705333248 is about 26558.1107761829. The cubic root of 705333248 is about 890.1532572840.

The spelling of 705333248 in words is "seven hundred five million, three hundred thirty-three thousand, two hundred forty-eight".