413919 has 24 divisors (see below), whose sum is σ = 675792. Its totient is φ = 241920.

The previous prime is 413911. The next prime is 413923. The reversal of 413919 is 919314.

It is not a de Polignac number, because 413919 - 2³ = 413911 is a prime.

It is a super-2 number, since 2×413919² = 342657877122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413892 and 413901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413911) 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 23 ways as a sum of consecutive naturals, for example, 3607 + ... + 3719.

It is an arithmetic number, because the mean of its divisors is an integer number (28158).

2⁴¹³⁹¹⁹ is an apocalyptic number.

413919 is a deficient number, since it is larger than the sum of its proper divisors (261873).

413919 is a wasteful number, since it uses less digits than its factorization.

413919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 164 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 413919 is about 643.3653705322. The cubic root of 413919 is about 74.5255381420.

The spelling of 413919 in words is "four hundred thirteen thousand, nine hundred nineteen".