470193 has 16 divisors (see below), whose sum is σ = 674880. Its totient is φ = 290304.

The previous prime is 470179. The next prime is 470201. The reversal of 470193 is 391074.

470193 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 470193 - 2⁵ = 470161 is a prime.

470193 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470153) 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, 4105 + ... + 4217.

It is an arithmetic number, because the mean of its divisors is an integer number (42180).

2⁴⁷⁰¹⁹³ is an apocalyptic number.

It is an amenable number.

470193 is a deficient number, since it is larger than the sum of its proper divisors (204687).

470193 is a wasteful number, since it uses less digits than its factorization.

470193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 470193 is about 685.7062053095. The cubic root of 470193 is about 77.7604418657.

The spelling of 470193 in words is "four hundred seventy thousand, one hundred ninety-three".