413493 has 4 divisors (see below), whose sum is σ = 551328. Its totient is φ = 275660.

The previous prime is 413477. The next prime is 413521. The reversal of 413493 is 394314.

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 413493 - 2⁴ = 413477 is a prime.

It is a super-2 number, since 2×413493² = 341952922098, which contains 22 as substring.

It is a D-number.

413493 is a lucky number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 413493.

It is not an unprimeable number, because it can be changed into a prime (413443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68913 + ... + 68918.

It is an arithmetic number, because the mean of its divisors is an integer number (137832).

2⁴¹³⁴⁹³ is an apocalyptic number.

It is an amenable number.

413493 is a deficient number, since it is larger than the sum of its proper divisors (137835).

413493 is a wasteful number, since it uses less digits than its factorization.

413493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137834.

The product of its digits is 1296, while the sum is 24.

The square root of 413493 is about 643.0342137087. The cubic root of 413493 is about 74.4999624641.

The spelling of 413493 in words is "four hundred thirteen thousand, four hundred ninety-three".