456591 has 4 divisors (see below), whose sum is σ = 608792. Its totient is φ = 304392.

The previous prime is 456587. The next prime is 456607. The reversal of 456591 is 195654.

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

It is not a de Polignac number, because 456591 - 2² = 456587 is a prime.

It is a D-number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456571) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76096 + ... + 76101.

It is an arithmetic number, because the mean of its divisors is an integer number (152198).

2⁴⁵⁶⁵⁹¹ is an apocalyptic number.

456591 is a deficient number, since it is larger than the sum of its proper divisors (152201).

456591 is a wasteful number, since it uses less digits than its factorization.

456591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152200.

The product of its digits is 5400, while the sum is 30.

The square root of 456591 is about 675.7151766832. The cubic root of 456591 is about 77.0032606704.

It can be divided in two parts, 4565 and 91, that added together give a triangular number (4656 = T₉₆).

The spelling of 456591 in words is "four hundred fifty-six thousand, five hundred ninety-one".