705467752 has 48 divisors (see below), whose sum is σ = 1493305380. Its totient is φ = 311984640.

The previous prime is 705467747. The next prime is 705467773. The reversal of 705467752 is 257764507.

It can be written as a sum of positive squares in 2 ways, for example, as 705114916 + 352836 = 26554^2 + 594^2 .

It is a super-2 number, since 2×705467752² = 995369498223867008, which contains 22 as substring.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 705467699 and 705467708.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25968 + ... + 45664.

Almost surely, 2^705467752 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 705467752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746652690).

705467752 is an abundant number, since it is smaller than the sum of its proper divisors (787837628).

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

705467752 is a wasteful number, since it uses less digits than its factorization.

705467752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19762 (or 19747 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 43.

The square root of 705467752 is about 26560.6429139055. The cubic root of 705467752 is about 890.2098364798.

The spelling of 705467752 in words is "seven hundred five million, four hundred sixty-seven thousand, seven hundred fifty-two".