857364468 has 96 divisors (see below), whose sum is σ = 2286869760. Its totient is φ = 248371200.

The previous prime is 857364467. The next prime is 857364503. The reversal of 857364468 is 864463758.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 857364468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857364463) 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 31 ways as a sum of consecutive naturals, for example, 132918 + ... + 139218.

It is an arithmetic number, because the mean of its divisors is an integer number (23821560).

Almost surely, 2^857364468 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 857364468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143434880).

857364468 is an abundant number, since it is smaller than the sum of its proper divisors (1429505292).

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

857364468 is a wasteful number, since it uses less digits than its factorization.

857364468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6377 (or 6375 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The square root of 857364468 is about 29280.7866697601. The cubic root of 857364468 is about 949.9961100487.

The spelling of 857364468 in words is "eight hundred fifty-seven million, three hundred sixty-four thousand, four hundred sixty-eight".