456456 has 128 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 103680.

The previous prime is 456451. The next prime is 456457. The reversal of 456456 is 654654.

456456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 456456.

It is not an unprimeable number, because it can be changed into a prime (456451) by changing a digit.

456456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is an upside-down number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24015 + ... + 24033.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2⁴⁵⁶⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

456456 is an abundant number, since it is smaller than the sum of its proper divisors (1156344).

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

456456 is a wasteful number, since it uses less digits than its factorization.

456456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 55 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 456456 is about 675.6152751382. The cubic root of 456456 is about 76.9956707523.

The spelling of 456456 in words is "four hundred fifty-six thousand, four hundred fifty-six".