456736 has 24 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 195648.

The previous prime is 456727. The next prime is 456737. The reversal of 456736 is 637654.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 456698 and 456707.

It is not an unprimeable number, because it can be changed into a prime (456737) by changing a digit.

456736 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 3 ways as a sum of consecutive naturals, for example, 796 + ... + 1243.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

2⁴⁵⁶⁷³⁶ is an apocalyptic number.

It is an amenable number.

456736 is an abundant number, since it is smaller than the sum of its proper divisors (571424).

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

456736 is a wasteful number, since it uses less digits than its factorization.

456736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2048 counting only the distinct ones).

The product of its digits is 15120, while the sum is 31.

The square root of 456736 is about 675.8224618937. The cubic root of 456736 is about 77.0114111384.

The spelling of 456736 in words is "four hundred fifty-six thousand, seven hundred thirty-six".