456621 has 16 divisors (see below), whose sum is σ = 675648. Its totient is φ = 272000.

The previous prime is 456613. The next prime is 456623. The reversal of 456621 is 126654.

It is a 4-Lehmer number, since φ(456621) divides (456621-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 456621 - 2³ = 456613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456591 and 456600.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3265 + ... + 3401.

It is an arithmetic number, because the mean of its divisors is an integer number (42228).

2⁴⁵⁶⁶²¹ is an apocalyptic number.

It is an amenable number.

456621 is a deficient number, since it is larger than the sum of its proper divisors (219027).

456621 is a wasteful number, since it uses less digits than its factorization.

456621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252.

The product of its digits is 1440, while the sum is 24.

The square root of 456621 is about 675.7373750208. The cubic root of 456621 is about 77.0049471157.

It can be divided in two parts, 45 and 6621, that added together give a palindrome (6666).

The spelling of 456621 in words is "four hundred fifty-six thousand, six hundred twenty-one".