456021 has 12 divisors (see below), whose sum is σ = 687648. Its totient is φ = 290664.

The previous prime is 456013. The next prime is 456023. The reversal of 456021 is 120654.

It is a happy number.

It is not a de Polignac number, because 456021 - 2³ = 456013 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 455985 and 456003.

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 895 + ... + 1308.

It is an arithmetic number, because the mean of its divisors is an integer number (57304).

2⁴⁵⁶⁰²¹ is an apocalyptic number.

It is an amenable number.

456021 is a deficient number, since it is larger than the sum of its proper divisors (231627).

456021 is a wasteful number, since it uses less digits than its factorization.

456021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 456021 is about 675.2932696244. The cubic root of 456021 is about 76.9712041648.

Adding to 456021 its reverse (120654), we get a palindrome (576675).

The spelling of 456021 in words is "four hundred fifty-six thousand, twenty-one".