857503152 has 160 divisors (see below), whose sum is σ = 2772203520. Its totient is φ = 251424000.

The previous prime is 857503147. The next prime is 857503177. The reversal of 857503152 is 251305758.

857503152 is a `hidden beast` number, since 8 + 575 + 0 + 31 + 52 = 666.

857503152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 144402 + ... + 150222.

It is an arithmetic number, because the mean of its divisors is an integer number (17326272).

Almost surely, 2^857503152 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 857503152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386101760).

857503152 is an abundant number, since it is smaller than the sum of its proper divisors (1914700368).

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

857503152 is a wasteful number, since it uses less digits than its factorization.

857503152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 857503152 is about 29283.1547480800. The cubic root of 857503152 is about 950.0473298672.

The spelling of 857503152 in words is "eight hundred fifty-seven million, five hundred three thousand, one hundred fifty-two".