705485200 has 240 divisors, whose sum is σ = 2075760000. Its totient is φ = 225054720.

The previous prime is 705485167. The next prime is 705485251. The reversal of 705485200 is 2584507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4734726 + ... + 4734874.

It is an arithmetic number, because the mean of its divisors is an integer number (8649000).

Almost surely, 2^705485200 is an apocalyptic number.

705485200 is a gapful number since it is divisible by the number (70) 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 705485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037880000).

705485200 is an abundant number, since it is smaller than the sum of its proper divisors (1370274800).

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

705485200 is a wasteful number, since it uses less digits than its factorization.

705485200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 705485200 is about 26560.9713677795. The cubic root of 705485200 is about 890.2171754655.

The spelling of 705485200 in words is "seven hundred five million, four hundred eighty-five thousand, two hundred".