705449472 has 320 divisors, whose sum is σ = 2383180800. Its totient is φ = 184246272.

The previous prime is 705449449. The next prime is 705449477. The reversal of 705449472 is 274944507.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705449477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6848973 + ... + 6849075.

It is an arithmetic number, because the mean of its divisors is an integer number (7447440).

Almost surely, 2^705449472 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 705449472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191590400).

705449472 is an abundant number, since it is smaller than the sum of its proper divisors (1677731328).

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

705449472 is a wasteful number, since it uses less digits than its factorization.

705449472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 705449472 is about 26560.2987935000. The cubic root of 705449472 is about 890.2021474082.

The spelling of 705449472 in words is "seven hundred five million, four hundred forty-nine thousand, four hundred seventy-two".