893456 has 20 divisors (see below), whose sum is σ = 1822800. Its totient is φ = 423072.

The previous prime is 893449. The next prime is 893479. The reversal of 893456 is 654398.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 893456.

It is an unprimeable number.

893456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 3 ways as a sum of consecutive naturals, for example, 1166 + ... + 1773.

It is an arithmetic number, because the mean of its divisors is an integer number (91140).

2⁸⁹³⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

893456 is an abundant number, since it is smaller than the sum of its proper divisors (929344).

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

893456 is a wasteful number, since it uses less digits than its factorization.

893456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2960 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 893456 is about 945.2280148197. The cubic root of 893456 is about 96.3143629774.

The spelling of 893456 in words is "eight hundred ninety-three thousand, four hundred fifty-six".