857408 has 14 divisors (see below), whose sum is σ = 1701546. Its totient is φ = 428672.

The previous prime is 857407. The next prime is 857411. The reversal of 857408 is 804758.

It can be written as a sum of positive squares in only one way, i.e., 506944 + 350464 = 712^2 + 592^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 857408.

It is not an unprimeable number, because it can be changed into a prime (857407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6635 + ... + 6762.

It is an arithmetic number, because the mean of its divisors is an integer number (121539).

2⁸⁵⁷⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

857408 is a deficient number, since it is larger than the sum of its proper divisors (844138).

857408 is a wasteful number, since it uses less digits than its factorization.

857408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13409 (or 13399 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 857408 is about 925.9632822094. The cubic root of 857408 is about 95.0012188209.

Subtracting from 857408 its reverse (804758), we obtain a triangular number (52650 = T₃₂₄).

The spelling of 857408 in words is "eight hundred fifty-seven thousand, four hundred eight".