857834496 has 352 divisors, whose sum is σ = 2829772800. Its totient is φ = 255467520.

The previous prime is 857834491. The next prime is 857834507. The reversal of 857834496 is 694438758.

857834496 is a `hidden beast` number, since 85 + 78 + 3 + 4 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (857834491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12082141 + ... + 12082211.

Almost surely, 2^857834496 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 857834496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414886400).

857834496 is an abundant number, since it is smaller than the sum of its proper divisors (1971938304).

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

857834496 is a wasteful number, since it uses less digits than its factorization.

857834496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 857834496 is about 29288.8117888043. The cubic root of 857834496 is about 950.1696819716.

The spelling of 857834496 in words is "eight hundred fifty-seven million, eight hundred thirty-four thousand, four hundred ninety-six".