413367 has 8 divisors (see below), whose sum is σ = 554496. Its totient is φ = 273912.

The previous prime is 413353. The next prime is 413411. The reversal of 413367 is 763314.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 413367 - 2⁸ = 413111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378 + ... + 984.

It is an arithmetic number, because the mean of its divisors is an integer number (69312).

2⁴¹³³⁶⁷ is an apocalyptic number.

413367 is a deficient number, since it is larger than the sum of its proper divisors (141129).

413367 is a wasteful number, since it uses less digits than its factorization.

413367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837.

The product of its digits is 1512, while the sum is 24.

The square root of 413367 is about 642.9362332300. The cubic root of 413367 is about 74.4923944610.

It can be divided in two parts, 413 and 367, that added together give a triangular number (780 = T₃₉).

The spelling of 413367 in words is "four hundred thirteen thousand, three hundred sixty-seven".