456045 has 8 divisors (see below), whose sum is σ = 729696. Its totient is φ = 243216.

The previous prime is 456037. The next prime is 456047. The reversal of 456045 is 540654.

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

It is not a de Polignac number, because 456045 - 2³ = 456037 is a prime.

456045 is a lucky number.

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 456045.

It is not an unprimeable number, because it can be changed into a prime (456047) 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, 15187 + ... + 15216.

It is an arithmetic number, because the mean of its divisors is an integer number (91212).

2⁴⁵⁶⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

456045 is a deficient number, since it is larger than the sum of its proper divisors (273651).

456045 is a wasteful number, since it uses less digits than its factorization.

456045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30411.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 456045 is about 675.3110394477. The cubic root of 456045 is about 76.9725544509.

Adding to 456045 its reverse (540654), we get a palindrome (996699).

The spelling of 456045 in words is "four hundred fifty-six thousand, forty-five".