857142432 has 96 divisors (see below), whose sum is σ = 2519415360. Its totient is φ = 283495680.

The previous prime is 857142409. The next prime is 857142523. The reversal of 857142432 is 234241758.

It is a happy number.

857142432 is a `hidden beast` number, since 8 + 571 + 42 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109398 + ... + 116970.

It is an arithmetic number, because the mean of its divisors is an integer number (26243910).

Almost surely, 2^857142432 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 857142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259707680).

857142432 is an abundant number, since it is smaller than the sum of its proper divisors (1662272928).

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

857142432 is a wasteful number, since it uses less digits than its factorization.

857142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7723 (or 7709 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 857142432 is about 29276.9949277586. The cubic root of 857142432 is about 949.9140945405.

The spelling of 857142432 in words is "eight hundred fifty-seven million, one hundred forty-two thousand, four hundred thirty-two".