468393 has 4 divisors (see below), whose sum is σ = 624528. Its totient is φ = 312260.

The previous prime is 468389. The next prime is 468421. The reversal of 468393 is 393864.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 468393 - 2² = 468389 is a prime.

It is a D-number.

468393 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (468323) 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, 78063 + ... + 78068.

It is an arithmetic number, because the mean of its divisors is an integer number (156132).

2⁴⁶⁸³⁹³ is an apocalyptic number.

It is an amenable number.

468393 is a deficient number, since it is larger than the sum of its proper divisors (156135).

468393 is a wasteful number, since it uses less digits than its factorization.

468393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156134.

The product of its digits is 15552, while the sum is 33.

The square root of 468393 is about 684.3924312849. The cubic root of 468393 is about 77.6610870714.

Subtracting from 468393 its reverse (393864), we obtain a square (74529 = 273²).

It can be divided in two parts, 468 and 393, that added together give a triangular number (861 = T₄₁).

The spelling of 468393 in words is "four hundred sixty-eight thousand, three hundred ninety-three".