456680 has 48 divisors (see below), whose sum is σ = 1200420. Its totient is φ = 155904.

The previous prime is 456679. The next prime is 456683. The reversal of 456680 is 86654.

456680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 432964 + 23716 = 658^2 + 154^2 .

It is not an unprimeable number, because it can be changed into a prime (456683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1844 + ... + 2076.

2⁴⁵⁶⁶⁸⁰ is an apocalyptic number.

456680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600210).

456680 is an abundant number, since it is smaller than the sum of its proper divisors (743740).

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

456680 is a wasteful number, since it uses less digits than its factorization.

456680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 456680 is about 675.7810296242. The cubic root of 456680 is about 77.0082635759.

The spelling of 456680 in words is "four hundred fifty-six thousand, six hundred eighty".