413019 has 10 divisors (see below), whose sum is σ = 617100. Its totient is φ = 275292.

The previous prime is 413009. The next prime is 413027. The reversal of 413019 is 910314.

It is not a de Polignac number, because 413019 - 2⁵ = 412987 is a prime.

It is a super-2 number, since 2×413019² = 341169388722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 412992 and 413010.

It is not an unprimeable number, because it can be changed into a prime (413009) 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 9 ways as a sum of consecutive naturals, for example, 2469 + ... + 2630.

It is an arithmetic number, because the mean of its divisors is an integer number (61710).

2⁴¹³⁰¹⁹ is an apocalyptic number.

413019 is a deficient number, since it is larger than the sum of its proper divisors (204081).

413019 is an equidigital number, since it uses as much as digits as its factorization.

413019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 413019 is about 642.6655428759. The cubic root of 413019 is about 74.4714843647.

The spelling of 413019 in words is "four hundred thirteen thousand, nineteen".