456620 has 36 divisors (see below), whose sum is σ = 1031520. Its totient is φ = 169728.

The previous prime is 456613. The next prime is 456623. The reversal of 456620 is 26654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456623) 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, 5741 + ... + 5819.

2⁴⁵⁶⁶²⁰ 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 456620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515760).

456620 is an abundant number, since it is smaller than the sum of its proper divisors (574900).

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

456620 is a wasteful number, since it uses less digits than its factorization.

456620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 456620 is about 675.7366350880. The cubic root of 456620 is about 77.0048909020.

The spelling of 456620 in words is "four hundred fifty-six thousand, six hundred twenty".