853408 has 12 divisors (see below), whose sum is σ = 1680210. Its totient is φ = 426688.

The previous prime is 853403. The next prime is 853427. The reversal of 853408 is 804358.

It can be written as a sum of positive squares in only one way, i.e., 478864 + 374544 = 692^2 + 612^2 .

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (853403) 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, 13303 + ... + 13366.

2⁸⁵³⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

853408 is a deficient number, since it is larger than the sum of its proper divisors (826802).

853408 is a wasteful number, since it uses less digits than its factorization.

853408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26679 (or 26671 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 853408 is about 923.8008443382. The cubic root of 853408 is about 94.8532545116.

The spelling of 853408 in words is "eight hundred fifty-three thousand, four hundred eight".