705200352 has 96 divisors (see below), whose sum is σ = 1967011200. Its totient is φ = 220589568.

The previous prime is 705200347. The next prime is 705200359. The reversal of 705200352 is 253002507.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705200359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197043 + ... + 200589.

It is an arithmetic number, because the mean of its divisors is an integer number (20489700).

Almost surely, 2^705200352 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 705200352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983505600).

705200352 is an abundant number, since it is smaller than the sum of its proper divisors (1261810848).

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

705200352 is a wasteful number, since it uses less digits than its factorization.

705200352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 705200352 is about 26555.6086731221. The cubic root of 705200352 is about 890.0973474295.

Adding to 705200352 its reverse (253002507), we get a palindrome (958202859).

The spelling of 705200352 in words is "seven hundred five million, two hundred thousand, three hundred fifty-two".