705016224 has 240 divisors, whose sum is σ = 2297877120. Its totient is φ = 210263040.

The previous prime is 705016183. The next prime is 705016237. The reversal of 705016224 is 422610507.

It is a super-2 number, since 2×705016224² = 994095752206436352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2252292 + ... + 2252604.

It is an arithmetic number, because the mean of its divisors is an integer number (9574488).

Almost surely, 2^705016224 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 705016224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148938560).

705016224 is an abundant number, since it is smaller than the sum of its proper divisors (1592860896).

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

705016224 is a wasteful number, since it uses less digits than its factorization.

705016224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 705016224 is about 26552.1416085407. The cubic root of 705016224 is about 890.0198724679.

The spelling of 705016224 in words is "seven hundred five million, sixteen thousand, two hundred twenty-four".