456153 has 8 divisors (see below), whose sum is σ = 611328. Its totient is φ = 302544.

The previous prime is 456151. The next prime is 456167. The reversal of 456153 is 351654.

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

It is not a de Polignac number, because 456153 - 2¹ = 456151 is a prime.

456153 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456153.

It is not an unprimeable number, because it can be changed into a prime (456151) 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, 951 + ... + 1347.

It is an arithmetic number, because the mean of its divisors is an integer number (76416).

2⁴⁵⁶¹⁵³ is an apocalyptic number.

It is an amenable number.

456153 is a deficient number, since it is larger than the sum of its proper divisors (155175).

456153 is a wasteful number, since it uses less digits than its factorization.

456153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783.

The product of its digits is 1800, while the sum is 24.

The square root of 456153 is about 675.3909978672. The cubic root of 456153 is about 76.9786301523.

The spelling of 456153 in words is "four hundred fifty-six thousand, one hundred fifty-three".