705378252 has 48 divisors (see below), whose sum is σ = 1705536000. Its totient is φ = 226632000.

The previous prime is 705378251. The next prime is 705378269. The reversal of 705378252 is 252873507.

705378252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 705378252.

It is not an unprimeable number, because it can be changed into a prime (705378251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259999 + ... + 262697.

It is an arithmetic number, because the mean of its divisors is an integer number (35532000).

Almost surely, 2^705378252 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 705378252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852768000).

705378252 is an abundant number, since it is smaller than the sum of its proper divisors (1000157748).

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

705378252 is a wasteful number, since it uses less digits than its factorization.

705378252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 705378252 is about 26558.9580367905. The cubic root of 705378252 is about 890.1721890468.

The spelling of 705378252 in words is "seven hundred five million, three hundred seventy-eight thousand, two hundred fifty-two".