456126 has 16 divisors (see below), whose sum is σ = 995328. Its totient is φ = 138200.

The previous prime is 456119. The next prime is 456149. The reversal of 456126 is 621654.

456126 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 456096 and 456105.

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 456126.

It is an unprimeable number.

456126 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, 3390 + ... + 3521.

It is an arithmetic number, because the mean of its divisors is an integer number (62208).

2⁴⁵⁶¹²⁶ is an apocalyptic number.

456126 is an abundant number, since it is smaller than the sum of its proper divisors (539202).

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

456126 is a wasteful number, since it uses less digits than its factorization.

456126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6927.

The product of its digits is 1440, while the sum is 24.

The square root of 456126 is about 675.3710091498. The cubic root of 456126 is about 76.9771113169.

The spelling of 456126 in words is "four hundred fifty-six thousand, one hundred twenty-six".