413384 has 8 divisors (see below), whose sum is σ = 775110. Its totient is φ = 206688.

The previous prime is 413353. The next prime is 413411. The reversal of 413384 is 483314.

It can be written as a sum of positive squares in only one way, i.e., 228484 + 184900 = 478^2 + 430^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

413384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25829 + ... + 25844.

2⁴¹³³⁸⁴ is an apocalyptic number.

It is an amenable number.

413384 is a deficient number, since it is larger than the sum of its proper divisors (361726).

413384 is a wasteful number, since it uses less digits than its factorization.

413384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51679 (or 51675 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 413384 is about 642.9494536898. The cubic root of 413384 is about 74.4934156306.

Adding to 413384 its reverse (483314), we get a palindrome (896698).

It can be divided in two parts, 413 and 384, that added together give a palindrome (797).

The spelling of 413384 in words is "four hundred thirteen thousand, three hundred eighty-four".