705315456 has 192 divisors, whose sum is σ = 2113511400. Its totient is φ = 225607680.

The previous prime is 705315449. The next prime is 705315461. The reversal of 705315456 is 654513507.

705315456 is a `hidden beast` number, since 70 + 531 + 5 + 4 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 525326400 + 179989056 = 22920^2 + 13416^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 705315456.

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, 5148220 + ... + 5148356.

Almost surely, 2^705315456 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 705315456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056755700).

705315456 is an abundant number, since it is smaller than the sum of its proper divisors (1408195944).

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

705315456 is a wasteful number, since it uses less digits than its factorization.

705315456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 705315456 is about 26557.7758104853. The cubic root of 705315456 is about 890.1457725289.

The spelling of 705315456 in words is "seven hundred five million, three hundred fifteen thousand, four hundred fifty-six".