852408 has 24 divisors (see below), whose sum is σ = 2308800. Its totient is φ = 284112.

The previous prime is 852391. The next prime is 852409. The reversal of 852408 is 804258.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 852408.

It is not an unprimeable number, because it can be changed into a prime (852409) by changing a digit.

852408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5848 + ... + 5991.

It is an arithmetic number, because the mean of its divisors is an integer number (96200).

2⁸⁵²⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

852408 is an abundant number, since it is smaller than the sum of its proper divisors (1456392).

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

852408 is a wasteful number, since it uses less digits than its factorization.

852408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11851 (or 11844 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 852408 is about 923.2594434935. The cubic root of 852408 is about 94.8161912205.

The spelling of 852408 in words is "eight hundred fifty-two thousand, four hundred eight".