456911 has 8 divisors (see below), whose sum is σ = 562464. Its totient is φ = 361440.

The previous prime is 456901. The next prime is 456923. The reversal of 456911 is 119654.

456911 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

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 456911 - 2¹⁴ = 440527 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456911.

It is not an unprimeable number, because it can be changed into a prime (456901) 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 7 ways as a sum of consecutive naturals, for example, 2420 + ... + 2601.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

2⁴⁵⁶⁹¹¹ is an apocalyptic number.

456911 is a deficient number, since it is larger than the sum of its proper divisors (105553).

456911 is a wasteful number, since it uses less digits than its factorization.

456911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041.

The product of its digits is 1080, while the sum is 26.

The square root of 456911 is about 675.9519213672. The cubic root of 456911 is about 77.0212456132.

It can be divided in two parts, 456 and 911, that multiplied together give a triangular number (415416 = T₉₁₁).

The spelling of 456911 in words is "four hundred fifty-six thousand, nine hundred eleven".