456804 has 18 divisors (see below), whose sum is σ = 1154790. Its totient is φ = 152256.

The previous prime is 456791. The next prime is 456809. The reversal of 456804 is 408654.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 152100 = 552^2 + 390^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (456809) by changing a digit.

456804 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, 6309 + ... + 6380.

It is an arithmetic number, because the mean of its divisors is an integer number (64155).

2⁴⁵⁶⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

456804 is an abundant number, since it is smaller than the sum of its proper divisors (697986).

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

456804 is a wasteful number, since it uses less digits than its factorization.

456804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12699 (or 12694 counting only the distinct ones).

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

The square root of 456804 is about 675.8727690919. The cubic root of 456804 is about 77.0152328327.

The spelling of 456804 in words is "four hundred fifty-six thousand, eight hundred four".