705456000 has 512 divisors, whose sum is σ = 2749593600. Its totient is φ = 177408000.

The previous prime is 705455999. The next prime is 705456043. The reversal of 705456000 is 654507.

705456000 is a `hidden beast` number, since 7 + 0 + 54 + 5 + 600 + 0 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 9935965 + ... + 9936035.

It is an arithmetic number, because the mean of its divisors is an integer number (5370300).

Almost surely, 2^705456000 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 705456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374796800).

705456000 is an abundant number, since it is smaller than the sum of its proper divisors (2044137600).

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

705456000 is a wasteful number, since it uses less digits than its factorization.

705456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 705456000 is about 26560.4216833995. The cubic root of 705456000 is about 890.2048932801.

The spelling of 705456000 in words is "seven hundred five million, four hundred fifty-six thousand".