857348352 has 432 divisors, whose sum is σ = 3099358080. Its totient is φ = 222363648.

The previous prime is 857348347. The next prime is 857348353. The reversal of 857348352 is 253843758.

857348352 is a `hidden beast` number, since 8 + 573 + 48 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 857348298 and 857348307.

It is not an unprimeable number, because it can be changed into a prime (857348353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14531299 + ... + 14531357.

It is an arithmetic number, because the mean of its divisors is an integer number (7174440).

Almost surely, 2^857348352 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 857348352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549679040).

857348352 is an abundant number, since it is smaller than the sum of its proper divisors (2242009728).

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

857348352 is a wasteful number, since it uses less digits than its factorization.

857348352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 857348352 is about 29280.5114709426. The cubic root of 857348352 is about 949.9901576081.

It can be divided in two parts, 85 and 7348352, that added together give a palindrome (7348437).

The spelling of 857348352 in words is "eight hundred fifty-seven million, three hundred forty-eight thousand, three hundred fifty-two".