419993 has 4 divisors (see below), whose sum is σ = 480000. Its totient is φ = 359988.

The previous prime is 419959. The next prime is 419999. The reversal of 419993 is 399914.

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 419993 - 2⁶ = 419929 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (419999) 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, 29993 + ... + 30006.

It is an arithmetic number, because the mean of its divisors is an integer number (120000).

2⁴¹⁹⁹⁹³ is an apocalyptic number.

It is an amenable number.

419993 is a deficient number, since it is larger than the sum of its proper divisors (60007).

419993 is an equidigital number, since it uses as much as digits as its factorization.

419993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60006.

The product of its digits is 8748, while the sum is 35.

The square root of 419993 is about 648.0686692010. The cubic root of 419993 is about 74.8883078214. Note that the first 3 decimals are identical.

The spelling of 419993 in words is "four hundred nineteen thousand, nine hundred ninety-three".