456020 has 18 divisors (see below), whose sum is σ = 964026. Its totient is φ = 181200.

The previous prime is 456013. The next prime is 456023. The reversal of 456020 is 20654.

It can be written as a sum of positive squares in only one way, i.e., 364816 + 91204 = 604^2 + 302^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 456020.

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 456020.

It is not an unprimeable number, because it can be changed into a prime (456023) by changing a digit.

456020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2945 + ... + 3095.

It is an arithmetic number, because the mean of its divisors is an integer number (53557).

2⁴⁵⁶⁰²⁰ is an apocalyptic number.

It is an amenable number.

456020 is an abundant number, since it is smaller than the sum of its proper divisors (508006).

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

456020 is a wasteful number, since it uses less digits than its factorization.

456020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 456020 is about 675.2925292049. The cubic root of 456020 is about 76.9711479018.

Adding to 456020 its reverse (20654), we get a palindrome (476674).

The spelling of 456020 in words is "four hundred fifty-six thousand, twenty".