857397312 has 392 divisors, whose sum is σ = 2878384896. Its totient is φ = 251817984.

The previous prime is 857397311. The next prime is 857397347. The reversal of 857397312 is 213793758.

It is a happy number.

857397312 is a `hidden beast` number, since 8 + 573 + 9 + 73 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857397311) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 18242473 + ... + 18242519.

Almost surely, 2^857397312 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 857397312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439192448).

857397312 is an abundant number, since it is smaller than the sum of its proper divisors (2020987584).

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

857397312 is a wasteful number, since it uses less digits than its factorization.

857397312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 857397312 is about 29281.3475099764. The cubic root of 857397312 is about 950.0082407411.

The spelling of 857397312 in words is "eight hundred fifty-seven million, three hundred ninety-seven thousand, three hundred twelve".