456726 has 16 divisors (see below), whose sum is σ = 921024. Its totient is φ = 150984.

The previous prime is 456697. The next prime is 456727. The reversal of 456726 is 627654.

It is a junction number, because it is equal to n+sod(n) for n = 456693 and 456702.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456726.

It is not an unprimeable number, because it can be changed into a prime (456727) by changing a digit.

456726 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 7 ways as a sum of consecutive naturals, for example, 745 + ... + 1211.

It is an arithmetic number, because the mean of its divisors is an integer number (57564).

2⁴⁵⁶⁷²⁶ is an apocalyptic number.

456726 is an abundant number, since it is smaller than the sum of its proper divisors (464298).

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

456726 is a wasteful number, since it uses less digits than its factorization.

456726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635.

The product of its digits is 10080, while the sum is 30.

The square root of 456726 is about 675.8150634604. The cubic root of 456726 is about 77.0108490926.

The spelling of 456726 in words is "four hundred fifty-six thousand, seven hundred twenty-six".