705742304 has 48 divisors (see below), whose sum is σ = 1454423040. Its totient is φ = 336462720.

The previous prime is 705742283. The next prime is 705742309. The reversal of 705742304 is 403247507.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705742309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262889 + ... + 265559.

It is an arithmetic number, because the mean of its divisors is an integer number (30300480).

Almost surely, 2^705742304 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 705742304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727211520).

705742304 is an abundant number, since it is smaller than the sum of its proper divisors (748680736).

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

705742304 is a wasteful number, since it uses less digits than its factorization.

705742304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 705742304 is about 26565.8108101372. The cubic root of 705742304 is about 890.3253046408.

The spelling of 705742304 in words is "seven hundred five million, seven hundred forty-two thousand, three hundred four".