456731 has 4 divisors (see below), whose sum is σ = 498264. Its totient is φ = 415200.

The previous prime is 456727. The next prime is 456737. The reversal of 456731 is 137654.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 456731 - 2² = 456727 is a prime.

It is a super-3 number, since 3×456731³ = 285826653133397673, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456731.

It is not an unprimeable number, because it can be changed into a prime (456737) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 20750 + ... + 20771.

It is an arithmetic number, because the mean of its divisors is an integer number (124566).

2⁴⁵⁶⁷³¹ is an apocalyptic number.

456731 is a deficient number, since it is larger than the sum of its proper divisors (41533).

456731 is a wasteful number, since it uses less digits than its factorization.

456731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41532.

The product of its digits is 2520, while the sum is 26.

The square root of 456731 is about 675.8187626872. The cubic root of 456731 is about 77.0111301165.

It can be divided in two parts, 456 and 731, that multiplied together give a triangular number (333336 = T₈₁₆).

The spelling of 456731 in words is "four hundred fifty-six thousand, seven hundred thirty-one".