413042 has 16 divisors (see below), whose sum is σ = 716352. Its totient is φ = 174960.

The previous prime is 413033. The next prime is 413053. The reversal of 413042 is 240314.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 14.

It is an unprimeable number.

413042 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 in 7 ways as a sum of consecutive naturals, for example, 2192 + ... + 2372.

It is an arithmetic number, because the mean of its divisors is an integer number (44772).

2⁴¹³⁰⁴² is an apocalyptic number.

413042 is a deficient number, since it is larger than the sum of its proper divisors (303310).

413042 is a wasteful number, since it uses less digits than its factorization.

413042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353.

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 413042 is about 642.6834368490. The cubic root of 413042 is about 74.4728667163.

Adding to 413042 its reverse (240314), we get a palindrome (653356).

The spelling of 413042 in words is "four hundred thirteen thousand, forty-two".