705342456 has 240 divisors, whose sum is σ = 2413398000. Its totient is φ = 186024384.

The previous prime is 705342419. The next prime is 705342457. The reversal of 705342456 is 654243507.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

705342456 is a `hidden beast` number, since 70 + 534 + 2 + 4 + 56 = 666.

705342456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×705342456² = 995015960472223872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 705342456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705342457) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54257106 + ... + 54257118.

It is an arithmetic number, because the mean of its divisors is an integer number (10055825).

Almost surely, 2^705342456 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 705342456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206699000).

705342456 is an abundant number, since it is smaller than the sum of its proper divisors (1708055544).

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

705342456 is an equidigital number, since it uses as much as digits as its factorization.

705342456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 705342456 is about 26558.2841313214. The cubic root of 705342456 is about 890.1571308646.

The spelling of 705342456 in words is "seven hundred five million, three hundred forty-two thousand, four hundred fifty-six".