705484512 has 96 divisors (see below), whose sum is σ = 2063093760. Its totient is φ = 234541440.

The previous prime is 705484489. The next prime is 705484517. The reversal of 705484512 is 215484507.

705484512 is a `hidden beast` number, since 70 + 548 + 45 + 1 + 2 = 666.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705484517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423393 + ... + 425055.

It is an arithmetic number, because the mean of its divisors is an integer number (21490560).

Almost surely, 2^705484512 is an apocalyptic number.

705484512 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 705484512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031546880).

705484512 is an abundant number, since it is smaller than the sum of its proper divisors (1357609248).

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

705484512 is a wasteful number, since it uses less digits than its factorization.

705484512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 705484512 is about 26560.9584164427. The cubic root of 705484512 is about 890.2168860809.

The spelling of 705484512 in words is "seven hundred five million, four hundred eighty-four thousand, five hundred twelve".