456892 has 12 divisors (see below), whose sum is σ = 846720. Its totient is φ = 214976.

The previous prime is 456881. The next prime is 456899. The reversal of 456892 is 298654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456899) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3292 + ... + 3427.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

456892 is a Friedman number, since it can be written as 26^4-89+5, using all its digits and the basic arithmetic operations.

2⁴⁵⁶⁸⁹² is an apocalyptic number.

It is an amenable number.

456892 is a deficient number, since it is larger than the sum of its proper divisors (389828).

456892 is a wasteful number, since it uses less digits than its factorization.

456892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6740 (or 6738 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 456892 is about 675.9378669671. The cubic root of 456892 is about 77.0201779918.

It can be divided in two parts, 45689 and 2, that multiplied together give a triangular number (91378 = T₄₂₇).

The spelling of 456892 in words is "four hundred fifty-six thousand, eight hundred ninety-two".