413609 has 12 divisors (see below), whose sum is σ = 503424. Its totient is φ = 338184.

The previous prime is 413597. The next prime is 413629. The reversal of 413609 is 906314.

It is not a de Polignac number, because 413609 - 2⁸ = 413353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (413629) 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 11 ways as a sum of consecutive naturals, for example, 944 + ... + 1310.

It is an arithmetic number, because the mean of its divisors is an integer number (41952).

2⁴¹³⁶⁰⁹ is an apocalyptic number.

413609 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

413609 is a deficient number, since it is larger than the sum of its proper divisors (89815).

413609 is a wasteful number, since it uses less digits than its factorization.

413609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 413609 is about 643.1244047616. The cubic root of 413609 is about 74.5069284729.

The spelling of 413609 in words is "four hundred thirteen thousand, six hundred nine".