4193409 has 16 divisors (see below), whose sum is σ = 6177024. Its totient is φ = 2509200.

The previous prime is 4193393. The next prime is 4193411. The reversal of 4193409 is 9043914.

It is not a de Polignac number, because 4193409 - 2⁴ = 4193393 is a prime.

4193409 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4193459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1974 + ... + 3504.

It is an arithmetic number, because the mean of its divisors is an integer number (386064).

Almost surely, 2^4193409 is an apocalyptic number.

It is an amenable number.

4193409 is a deficient number, since it is larger than the sum of its proper divisors (1983615).

4193409 is a wasteful number, since it uses less digits than its factorization.

4193409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 4193409 is about 2047.7814824829. The cubic root of 4193409 is about 161.2584227317.

It can be divided in two parts, 419 and 3409, that added together give a triangular number (3828 = T₈₇).

The spelling of 4193409 in words is "four million, one hundred ninety-three thousand, four hundred nine".