804456 has 24 divisors (see below), whose sum is σ = 2178930. Its totient is φ = 268128.

The previous prime is 804449. The next prime is 804473. The reversal of 804456 is 654408.

It can be written as a sum of positive squares in only one way, i.e., 695556 + 108900 = 834^2 + 330^2 .

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

It is an unprimeable number.

804456 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, 5515 + ... + 5658.

2⁸⁰⁴⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

804456 is an abundant number, since it is smaller than the sum of its proper divisors (1374474).

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

804456 is a wasteful number, since it uses less digits than its factorization.

804456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11185 (or 11178 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 804456 is about 896.9147116644. The cubic root of 804456 is about 93.0038153135.

It can be divided in two parts, 8044 and 56, that added together give a square (8100 = 90²).

The spelling of 804456 in words is "eight hundred four thousand, four hundred fifty-six".