705347352 has 96 divisors (see below), whose sum is σ = 1993118400. Its totient is φ = 233686944.

The previous prime is 705347347. The next prime is 705347387. The reversal of 705347352 is 253743507.

705347352 is a `hidden beast` number, since 7 + 0 + 534 + 73 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346963 + ... + 348989.

It is an arithmetic number, because the mean of its divisors is an integer number (20761650).

Almost surely, 2^705347352 is an apocalyptic number.

705347352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705347352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996559200).

705347352 is an abundant number, since it is smaller than the sum of its proper divisors (1287771048).

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

705347352 is a wasteful number, since it uses less digits than its factorization.

705347352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 705347352 is about 26558.3763057910. The cubic root of 705347352 is about 890.1591904784.

The spelling of 705347352 in words is "seven hundred five million, three hundred forty-seven thousand, three hundred fifty-two".