456393 has 16 divisors (see below), whose sum is σ = 705536. Its totient is φ = 257040.

The previous prime is 456377. The next prime is 456403. The reversal of 456393 is 393654.

It is a happy number.

It is not a de Polignac number, because 456393 - 2⁴ = 456377 is a prime.

It is a Duffinian number.

Its product of digits (9720) is a multiple of the sum of its prime divisors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 456393.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456393.

It is not an unprimeable number, because it can be changed into a prime (456353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2058 + ... + 2268.

It is an arithmetic number, because the mean of its divisors is an integer number (44096).

2⁴⁵⁶³⁹³ is an apocalyptic number.

It is an amenable number.

456393 is a deficient number, since it is larger than the sum of its proper divisors (249143).

456393 is a wasteful number, since it uses less digits than its factorization.

456393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324.

The product of its digits is 9720, while the sum is 30.

The square root of 456393 is about 675.5686493614. The cubic root of 456393 is about 76.9921282783.

It can be divided in two parts, 4563 and 93, that added together give a triangular number (4656 = T₉₆).

The spelling of 456393 in words is "four hundred fifty-six thousand, three hundred ninety-three".