456631 has 6 divisors (see below), whose sum is σ = 531240. Its totient is φ = 391356.

The previous prime is 456623. The next prime is 456641. The reversal of 456631 is 136654.

It is not a de Polignac number, because 456631 - 2³ = 456623 is a prime.

It is a super-2 number, since 2×456631² = 417023740322, which contains 22 as substring.

It is a Duffinian number.

456631 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 456596 and 456605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456611) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4611 + ... + 4708.

It is an arithmetic number, because the mean of its divisors is an integer number (88540).

2⁴⁵⁶⁶³¹ is an apocalyptic number.

456631 is a deficient number, since it is larger than the sum of its proper divisors (74609).

456631 is an equidigital number, since it uses as much as digits as its factorization.

456631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9333 (or 9326 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 456631 is about 675.7447743046. The cubic root of 456631 is about 77.0055092477.

The spelling of 456631 in words is "four hundred fifty-six thousand, six hundred thirty-one".