852705440 has 96 divisors (see below), whose sum is σ = 2053855440. Its totient is φ = 334495744.

The previous prime is 852705439. The next prime is 852705467. The reversal of 852705440 is 44507258.

It can be written as a sum of positive squares in 8 ways, for example, as 370639504 + 482065936 = 19252^2 + 21956^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 852705440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3317792 + ... + 3318048.

Almost surely, 2^852705440 is an apocalyptic number.

852705440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026927720).

852705440 is an abundant number, since it is smaller than the sum of its proper divisors (1201150000).

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

852705440 is a wasteful number, since it uses less digits than its factorization.

852705440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The square root of 852705440 is about 29201.1205264456. The cubic root of 852705440 is about 948.2721835314.

The spelling of 852705440 in words is "eight hundred fifty-two million, seven hundred five thousand, four hundred forty".