456913 has 8 divisors (see below), whose sum is σ = 480168. Its totient is φ = 434304.

The previous prime is 456901. The next prime is 456923. The reversal of 456913 is 319654.

It can be written as a sum of positive squares in 4 ways, for example, as 135424 + 321489 = 368^2 + 567^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456913 - 2⁵ = 456881 is a prime.

It is a Duffinian number.

456913 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (456923) 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 7 ways as a sum of consecutive naturals, for example, 1845 + ... + 2077.

It is an arithmetic number, because the mean of its divisors is an integer number (60021).

2⁴⁵⁶⁹¹³ is an apocalyptic number.

It is an amenable number.

456913 is a deficient number, since it is larger than the sum of its proper divisors (23255).

456913 is a wasteful number, since it uses less digits than its factorization.

456913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323.

The product of its digits is 3240, while the sum is 28.

The square root of 456913 is about 675.9534007607. The cubic root of 456913 is about 77.0213579927.

It can be divided in two parts, 456 and 913, that multiplied together give a triangular number (416328 = T₉₁₂).

The spelling of 456913 in words is "four hundred fifty-six thousand, nine hundred thirteen".