857705420 has 288 divisors, whose sum is σ = 2390653440. Its totient is φ = 254791680.

The previous prime is 857705419. The next prime is 857705423. The reversal of 857705420 is 24507758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857705423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14537351 + ... + 14537409.

It is an arithmetic number, because the mean of its divisors is an integer number (8300880).

Almost surely, 2^857705420 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 857705420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195326720).

857705420 is an abundant number, since it is smaller than the sum of its proper divisors (1532948020).

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

857705420 is a wasteful number, since it uses less digits than its factorization.

857705420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 38.

The square root of 857705420 is about 29286.6082023849. The cubic root of 857705420 is about 950.1220231072.

The spelling of 857705420 in words is "eight hundred fifty-seven million, seven hundred five thousand, four hundred twenty".